Question

A:B=B:C=C:D=D:E then B:E=64:125 Find A:E=?​

Answer 1

Answer:

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Answer 2

The ratio of A:E is 256:625

Step-by-step explanation:

Given: A:B=B:C=C:D=D:E

$\dfrac{A}{B}=\dfrac{B}{C}=\dfrac{C}{D}=\dfrac{D}{E}=r$

$D=Er$

$C=Dr=Er^2$                        $\because D=Er$

$B=Cr=Er^3$                        $\because C=Er^2$

$\dfrac{B}{E}=r^3$

$r^3=\dfrac{64}{125}$                                    $\because B:E = 64:125$

$r=\sqrt[3]{\dfrac{64}{125}}$

$r=\dfrac{4}{5}$

$A=Br=Er^4$                        $\because B=Er^3$

$\dfrac{A}{E}=r^4$

$\dfrac{A}{E}=(\dfrac{4}{5})^4$

$\dfrac{A}{E}=\dfrac{256}{625}$

#Learn more:

Ratio and proportional

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