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Finding the Fourth Proportional to 456,861,681.92, 685,292,505.60 and 133,745,553.92

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Solution

The fourth proportional to 456,861,681.92, 685,292,505.60 and 133,745,553.92 is: 200,618,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,861,681.92 : 685,292,505.60 = 133,745,553.92 : x
  2. Step 2: Convert to fraction form
    456,861,681.92/685,292,505.60 = 133,745,553.92/x
  3. Step 3: Cross multiply
    456,861,681.92x = 685,292,505.60 × 133,745,553.92
  4. Step 4: Simplify right side
    456,861,681.92x = 91,654,825,758,696,704
  5. Step 5: Solve for x
    x = 91,654,825,758,696,704/456,861,681.92
  6. Step 6: Final answer
    x = 200,618,325.82

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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.