Charge of three small spheres when connected to a big one

1. The problem statement, all variables and given/known data
Three small metal solid uncharged spheres are put on vertexes of an equilateral triangle. Then they all one by one are connected to a big conducting solid sphere, which is at the same distance from all the small ones, by a wire. Thus the first sphere is charged to q1 and the second one – to q2. Find the charge of the last small sphere if the potential of the big one does not change.

2. Relevant equations

[itex] V = kq/r [/itex]

3. The attempt at a solution

No idea how to do this one 🙁 I was maybe thinking about the conservation of charge, but if the potential of the big sphere does not change, I’m not able to apply that conservation law. As I understand, all the small spheres are of the same potential when connected, but I’m not sure what to do with it. And does it matter whether the big sphere is at the same distance from the three small ones or not?

I’m completely lost. Any help appreciated!

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