\begin{align*} & A \cdot \frac{1}{258,890,850} + \$1000000 \cdot \frac{1}{18,492,204} \\ & + \$5000 \cdot \frac{1}{739,688} + \$500 \cdot \frac{1}{52,835}\\ & + \$50 \cdot \frac{1}{10,720} + \$5 \cdot \frac{1}{766} \\ & + \$5 \cdot \frac{1}{473} + \$2 \cdot \frac{1}{56} + \$1 \cdot \frac{1}{21}\\ & = 1 \end{align*}