A logistics coordinator is calculating the total efficiency factor for a supply chain involving three different transport stages. The individual factors for these stages are ${}\frac{9}{16}$, ${}\frac{5}{49}$, and ${}\frac{16}{9}$. What is the simplified total efficiency factor, calculated as:

${}\frac{9}{16} \cdot \frac{5}{49} \cdot \frac{16}{9}$?

An inventory analyst is calculating a compounded conversion rate across three departments, represented by the expression $\frac{9}{16} \cdot \frac{5}{49} \cdot \frac{16}{9}$. By rearranging the fractions to multiply the reciprocals first, the overall rate simplifies to $\frac{5}{49}$.

A logistics coordinator is calculating the total weight adjustment factor for a cargo shipment across three transport legs. The individual factors are $\frac{9}{16}$, $\frac{5}{49}$, and $\frac{16}{9}$. To find the total factor, the coordinator must multiply them: $\frac{9}{16} \cdot \frac{5}{49} \cdot \frac{16}{9}$.

Arrange the following steps in the correct order to simplify this calculation efficiently.

A logistics analyst is calculating a combined efficiency rating for three different shipping routes using the expression $\frac{9}{16} \cdot \frac{5}{49} \cdot \frac{16}{9}$. Match each component of the simplification process with its correct value or property.

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