At one time gold was valued as a certain dollar value to a weight of gold and silver.  Since Nixon took us off the gold standard, that ratio was lost.  
In the Coinage Act of 1834, Congress adjusted the gold eagle: "Each eagle shall contain two-hundred and thirty-two grains of pure gold." This brought into legal equivalence 3712.5 grains of silver and 232 grains of gold. The ratio was 1:16.

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