Series Sum Ratio Alpha Beta (Jee Mains)

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Series Sum Ratio Alpha Beta

If $\frac{1}{{{1^4}}} + \frac{1}{{{2^4}}} + \frac{1}{{{3^4}}} + .....\infty = \frac{{{\pi ^4}}}{{90}}$ ,
$\frac{1}{{{1^4}}} + \frac{1}{{{3^4}}} + \frac{1}{{{5^4}}} + .....\infty = \alpha$ ,
$\frac{1}{{{2^4}}} + \frac{1}{{{4^4}}} + \frac{1}{{{6^4}}} + .....\infty = \beta$ ,
then $\frac{\alpha }{\beta }$ is equal to

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