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Solve for L_0
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906=L_{0}\times \frac{1}{887503681000000}\times 180
Calculate 310 to the power of -6 and get \frac{1}{887503681000000}.
906=L_{0}\times \frac{9}{44375184050000}
Multiply \frac{1}{887503681000000} and 180 to get \frac{9}{44375184050000}.
L_{0}\times \frac{9}{44375184050000}=906
Swap sides so that all variable terms are on the left hand side.
L_{0}=906\times \frac{44375184050000}{9}
Multiply both sides by \frac{44375184050000}{9}, the reciprocal of \frac{9}{44375184050000}.
L_{0}=\frac{13401305583100000}{3}
Multiply 906 and \frac{44375184050000}{9} to get \frac{13401305583100000}{3}.