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Finding the Fourth Proportional to 468,231,765.52, 646,129,533.80 and 256,538,306.02

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Solution

The fourth proportional to 468,231,765.52, 646,129,533.80 and 256,538,306.02 is: 354,006,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,231,765.52 : 646,129,533.80 = 256,538,306.02 : x
  2. Step 2: Convert to fraction form
    468,231,765.52/646,129,533.80 = 256,538,306.02/x
  3. Step 3: Cross multiply
    468,231,765.52x = 646,129,533.80 × 256,538,306.02
  4. Step 4: Simplify right side
    468,231,765.52x = 165,756,976,070,544,320
  5. Step 5: Solve for x
    x = 165,756,976,070,544,320/468,231,765.52
  6. Step 6: Final answer
    x = 354,006,259.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.