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If $\cfrac{a}{4b}=c$ and $\cfrac{2a}{8b}=d$, what is $\cfrac{c}{4d}$?

A

$\cfrac{1}{4}$

B

$\cfrac{1}{2}$

C

$\cfrac{3}{4}$

D

$1$

E

$1\cfrac{1}{4}$

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