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Finding the Fourth Proportional to 396,275,854.40, 594,413,781.60 and 105,142,414.40

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Solution

The fourth proportional to 396,275,854.40, 594,413,781.60 and 105,142,414.40 is: 157,713,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,275,854.40 : 594,413,781.60 = 105,142,414.40 : x
  2. Step 2: Convert to fraction form
    396,275,854.40/594,413,781.60 = 105,142,414.40/x
  3. Step 3: Cross multiply
    396,275,854.40x = 594,413,781.60 × 105,142,414.40
  4. Step 4: Simplify right side
    396,275,854.40x = 62,498,100,150,058,304
  5. Step 5: Solve for x
    x = 62,498,100,150,058,304/396,275,854.40
  6. Step 6: Final answer
    x = 157,713,621.60

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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.