If \(m\) is the arithmetic mean of two distinct real numbers \(l\) and \(n\) \((l,n>1)\) and \(G_1,G_2\) and \(G_3\) are three geometric means between \(l\) and \(n\) , then \(G_1^4+2G_2^4+G_3^4\) equals :

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