How many children?

Algebra Level 3

A father in his will left all his money to his children in the following manner:

$1000 to the first born and 1/10 of what then remains, then $2000 to the second born and 1/10 of what then remains, then $3000 to the third born and 1/10 of what then remains, and so on.

When this was done each child had the same amount. How many children were there?

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