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If \( \mathrm{m} \) is the A.M. of two distinct real numbers \( \mathrm{l} \) and \( n(\mathrm{l}, \mathrm{n}1) \) and \( \mathrm{G}_{1}, \mathrm{G}_{2} \) and \( \mathrm{G}_{3} \) are three geometric means between \( l \) and \( \mathrm{n} \), then \( \left(\mathrm{G}_{1}\right)^{4}+2\left(\mathrm{G}_{2}\right)^{4}+\left(\mathrm{G}_{3}\right)^{4} \) equals
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