Would you consider think that, perhaps, one dust speck is a bit much to pay to save one part in 3^^^3 of a victim?
When multiple agents coordinate, their decision delivers the whole outcome, not a part of it. Depending on what you decide, everyone who reasons similarly will decide. Thus, you have the absolute control over what outcome to bring about, even if you are only one of a gazillion like-minded voters.
Here, you decide whether to save one person, at the cost of harming 3^^^3 people. This is not equivalent to saving 1/3^^^3 of a person at the cost of harming one person, because the saving of 1/3^^^3 of a person is not something that actually could happen, it is at best utilitarian simplification, which you must make explicit and not confuse for a decision-theoretic construction.
If it were a one-shot deal with no cheaper alternative, I could see agreeing. But that still leaves the other 3^^^3/10^14 victims and this won’t scale to deal with those.
When multiple agents coordinate, their decision delivers the whole outcome, not a part of it. Depending on what you decide, everyone who reasons similarly will decide. Thus, you have the absolute control over what outcome to bring about, even if you are only one of a gazillion like-minded voters.
Here, you decide whether to save one person, at the cost of harming 3^^^3 people. This is not equivalent to saving 1/3^^^3 of a person at the cost of harming one person, because the saving of 1/3^^^3 of a person is not something that actually could happen, it is at best utilitarian simplification, which you must make explicit and not confuse for a decision-theoretic construction.
If it were a one-shot deal with no cheaper alternative, I could see agreeing. But that still leaves the other 3^^^3/10^14 victims and this won’t scale to deal with those.