Finding the Fourth Proportional to 657,098,616,274.92, 906,801,414,715.08 and 364,128,432,814.14
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Solution
The fourth proportional to 657,098,616,274.92, 906,801,414,715.08 and 364,128,432,814.14 is: 502,500,187,697.40
Step by Step Solution
- Step 1: Write the proportion equation
657,098,616,274.92 : 906,801,414,715.08 = 364,128,432,814.14 : x - Step 2: Convert to fraction form
657,098,616,274.92/906,801,414,715.08 = 364,128,432,814.14/x - Step 3: Cross multiply
657,098,616,274.92x = 906,801,414,715.08 × 364,128,432,814.14 - Step 4: Simplify right side
657,098,616,274.92x = 330,192,178,013,847,121,035,264 - Step 5: Solve for x
x = 330,192,178,013,847,121,035,264/657,098,616,274.92 - Step 6: Final answer
x = 502,500,187,697.40
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.