Gravitational force for a ball and particle

1. The problem statement, all variables and given/known data
How far from a very small 110kg ball would a particle have to be placed so that the ball pulled on the particle just as hard as the earth does?

2. Relevant equations

Fg= gMm/r^2

3. The attempt at a solution
I used the equation and plugged in the numbers for the ball and the earth, but then I realized that I needed to use the mass for the particle. However, I don’t know what the mass for the particle is.

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