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Finding the Fourth Proportional to 520,838,562.96, 784,375,680.39 and 474,348,104.28

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Solution

The fourth proportional to 520,838,562.96, 784,375,680.39 and 474,348,104.28 is: 714,361,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,838,562.96 : 784,375,680.39 = 474,348,104.28 : x
  2. Step 2: Convert to fraction form
    520,838,562.96/784,375,680.39 = 474,348,104.28/x
  3. Step 3: Cross multiply
    520,838,562.96x = 784,375,680.39 × 474,348,104.28
  4. Step 4: Simplify right side
    520,838,562.96x = 372,067,117,036,331,648
  5. Step 5: Solve for x
    x = 372,067,117,036,331,648/520,838,562.96
  6. Step 6: Final answer
    x = 714,361,691.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.