An Egyptian fraction is a sum of positive distinct unit fractions. A fraction is unit fraction if numerator is \(1\) and denominator is a positive integer. Implement an algorithm to represent a fraction as the sum of finite unit fractions.

\[\frac{46}{101}=\frac{1}{3}+\frac{1}{9}+\frac{1}{91}+\frac{1}{d}\]

What is the value of \(d\)?

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