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Finding the Fourth Proportional to 314,930,713.20, 472,396,069.80 and 142,413,154.80

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Solution

The fourth proportional to 314,930,713.20, 472,396,069.80 and 142,413,154.80 is: 213,619,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,713.20 : 472,396,069.80 = 142,413,154.80 : x
  2. Step 2: Convert to fraction form
    314,930,713.20/472,396,069.80 = 142,413,154.80/x
  3. Step 3: Cross multiply
    314,930,713.20x = 472,396,069.80 × 142,413,154.80
  4. Step 4: Simplify right side
    314,930,713.20x = 67,275,414,615,339,016
  5. Step 5: Solve for x
    x = 67,275,414,615,339,016/314,930,713.20
  6. Step 6: Final answer
    x = 213,619,732.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.