Finding the Fourth Proportional to 906,866,142,286.96, 1,360,304,298,324.20 and 302,489,689,006
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Solution
The fourth proportional to 906,866,142,286.96, 1,360,304,298,324.20 and 302,489,689,006 is: 453,736,229,600.47
Step by Step Solution
- Step 1: Write the proportion equation
906,866,142,286.96 : 1,360,304,298,324.20 = 302,489,689,006 : x - Step 2: Convert to fraction form
906,866,142,286.96/1,360,304,298,324.20 = 302,489,689,006/x - Step 3: Cross multiply
906,866,142,286.96x = 1,360,304,298,324.20 × 302,489,689,006 - Step 4: Simplify right side
906,866,142,286.96x = 411,478,024,153,612,286,951,424 - Step 5: Solve for x
x = 411,478,024,153,612,286,951,424/906,866,142,286.96 - Step 6: Final answer
x = 453,736,229,600.47
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.