Though Beijing has confirmed the first was from China, US officials are yet to give further details about the nature of the three latter objects, which so far remain unidentified.
Here, Sky News takes a look at when and where the four objects were shot down, and what we know so far.
4 February
The first object, described by US officials as a suspected Chinese “spy” balloon, was first spotted by US air defence systems flying towards Alaska from the Bering Sea.
Image: A high-altitude balloon over Billings in Montana
The balloon moved through Canada before dipping back into the US and out off the coast of South Carolina, where it was shot down with a missile fired by an F-22 fighter aircraft, about six nautical miles off the coast near Myrtle Beach.
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A US defence official said the aircraft was a spy balloon and that China had intended to use it on sensitive military sites.
However, China insisted the balloon was used for meteorological and other scientific research and had been blown off course.
In a statement, the Chinese Foreign Ministry called the shooting down of the balloon an “obvious overreaction” that “seriously violated international conventions”.
10 February
A second object, described as being “about the size of a small car” was spotted by the North American Aerospace Defense Command (NORAD) near Alaska and downed on 10 February.
According to Pentagon press secretary Brigadier General Patrick Ryder, the object, which was hovering at an altitude of around 40,000ft, was “not similar in size or shape” to the balloon shot down off South Carolina.
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1:03
Unknown object shot down by US was ‘size of small car’
Two US F-22 warplanes were dispatched from Joint Base Elmendorf-Richardson near Anchorage, Alaska, and the object was shot down over sea ice near Deadhorse.
US officials said a search team had been sent to recover debris from the object in order to identify what it is and where it had come from.
11 February
A third object, again unidentified but described by US officials as “much smaller” than the suspected spy balloon, was tracked entering US airspace over Alaska before drifting over Canada.
Canadian officials described the object, which was flying at an altitude of around 40,000ft, as “small” and “cylindrical” and that it “posed a reasonable threat”.
Again, US F-22 jets tracked the object, while Canadian CF-18 fighters and CP-140 maritime patrol craft also joined the operation.
The object was shot down by a US F-22 over a central area of Canada’s Yukon Territory, on the orders of Canadian Prime Minister Justin Trudeau.
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0:36
The object was shot down by a US F-22 fighter jet.
“To our knowledge, this is the first instance of Norad downing an object in Canadian airspace, and the importance of this moment should not be underestimated,” said Canada’s Defence Minister Anita Anand.
12 February
On Sunday, US officials confirmed another unidentified object had been shot down by fighter jets over Lake Huron on the US-Canada border near Michigan.
This time the object was flying at a considerably lower altitude, around 20,000ft.
It was shot down by an F-16 jet, on the orders of Mr Biden, due to concerns that its altitude and flight path could endanger civilian planes.
A senior US official, speaking anonymously, described the latest object as having “an octagonal structure with strings hanging off but no discernible payload”.
In a statement, the Pentagon said: “Based on its flight path and data we can reasonably connect this object to the radar signal picked up over Montana, which flew in proximity to sensitive DOD [Department of Defense] sites.
“We did not assess it to be a kinetic military threat to anything on the ground, but assess it was a safety flight hazard and a threat due to its potential surveillance capabilities.”
US Air Force general Glen VanHerck admitted he did not know what the last three objects shot down were or how they stayed aloft.
However, he told reporters they were not the same as the Chinese “spy” balloon.
“We’re calling them objects, not balloons, for a reason,” he said – also refusing to rule out any explanation when asked if they could be extra-terrestrial.
Mr Biden was diagnosed on Friday, with tests revealing the cancer had spread to his bones.
The former president posted an image of himself and his wife Jill on X on Monday and wrote: “Cancer touches us all. Like so many of you, Jill and I have learned that we are strongest in the broken places. Thank you for lifting us up with love and support.”
Image: The King and Joe Biden at Windsor Castle in July 2023. Pic: Reuters
The King’s letter comes after British Prime Minister Sir Keir Starmer said he was “very sorry to hear President Biden has prostate cancer”.
“All the very best to Joe, his wife Jill and their family, and wishing the President swift and successful treatment,” he added.
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Meanwhile US President Donald Trump said he was “saddened” by the news, adding: “We extend our warmest and best wishes to Jill and the family, and we wish Joe a fast and successful recovery.”
Former US president Barack Obama said: “Michelle and I are thinking of the entire Biden family.
“Nobody has done more to find breakthrough treatments for cancer in all its forms than Joe, and I am certain he will fight this challenge with his trademark resolve and grace. We pray for a fast and full recovery.”
Image: Barack Obama (right) with Joe Biden at a campaign event in 2022. File pic: Reuters
After a poor debate performance against Mr Trump and amid escalating concerns around his age and fitness to serve, Mr Biden withdrew from the 2024 presidential election race and endorsed his vice president Kamala Harris.
Ms Harris wrote on X after his diagnosis: “We are keeping him, Dr. Biden, and their entire family in our hearts and prayers during this time.
“Joe is a fighter – and I know he will face this challenge with the same strength, resilience, and optimism that have always defined his life and leadership. We are hopeful for a full and speedy recovery.”
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1:16
Mr Biden’s diagnosis: What we know
Former US president Bill Clinton wrote on social media: “My friend Joe Biden’s always been a fighter. Hillary and I are rooting for him and are keeping him, Jill, and the entire family in our thoughts.”
Hillary Clinton, who unsuccessfully ran for president in 2016, said she was “thinking of the Bidens as they take on cancer, a disease they’ve done so much to try to spare other families from”.
Speaker of the US House of Representatives Mike Johnson said it was “sad news” and his family “will be joining the countless others who are praying” for Mr Biden.
Former House speaker Nancy Pelosi described Mr Biden as a “great American patriot” and said she was “praying for him to have strength and a swift recovery”.
Mr Trump’s secretary of state, Marco Rubio, wrote on social media that he and his wife were “united in prayer for the Biden Family during this difficult time”.
US President Donald Trump said he was “saddened” by the news, adding: “We extend our warmest and best wishes to Jill and the family, and we wish Joe a fast and successful recovery.”
Former US president Barack Obama said: “Michelle and I are thinking of the entire Biden family.
“Nobody has done more to find breakthrough treatments for cancer in all its forms than Joe, and I am certain he will fight this challenge with his trademark resolve and grace. We pray for a fast and full recovery.”
Image: Barack Obama (right) with Joe Biden at a campaign event in 2022. File pic: Reuters
British Prime Minister Sir Keir Starmer said he was “very sorry to hear President Biden has prostate cancer”.
“All the very best to Joe, his wife Jill and their family, and wishing the President swift and successful treatment,” he added.
After a poor debate performance against Mr Trump and amid escalating concerns for his health, Mr Biden withdrew from the 2024 election and endorsed his vice president Kamala Harris.
Ms Harris wrote on X: “We are keeping him, Dr. Biden, and their entire family in our hearts and prayers during this time.
“Joe is a fighter – and I know he will face this challenge with the same strength, resilience, and optimism that have always defined his life and leadership. We are hopeful for a full and speedy recovery.”
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1:16
Mr Biden’s diagnosis: What we know
Former US president Bill Clinton wrote on social media: “My friend Joe Biden’s always been a fighter. Hillary and I are rooting for him and are keeping him, Jill, and the entire family in our thoughts.”
Hillary Clinton, who unsuccessfully ran for president in 2016, said she was “thinking of the Bidens as they take on cancer, a disease they’ve done so much to try to spare other families from”.
Speaker of the US House Of Representatives Mike Johnson said it was “sad news” and his family “will be joining the countless others who are praying” for Mr Biden.
Former House speaker Nancy Pelosi described Mr Biden as a “great American patriot” and said she was “praying for him to have strength and a swift recovery”.
Mr Trump’s secretary of state, Marco Rubio, wrote on social media he and his wife were “united in prayer for the Biden Family during this difficult time”.
Following President Trump’s Middle East trip – which the White House is touting as an unbridled success – Sky News’ Martha Kelner sits down with Barbara Leaf, who was US ambassador to the United Arab Emirates during Trump’s first term and assistant secretary of state for Near Eastern affairs in the Biden administration.
She was also in the team that formed the first formal US presence in Syria after more than a decade.