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Finding the Fourth Proportional to 230,919,911.20, 318,414,105.84 and 147,155,348.80

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Solution

The fourth proportional to 230,919,911.20, 318,414,105.84 and 147,155,348.80 is: 202,911,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,919,911.20 : 318,414,105.84 = 147,155,348.80 : x
  2. Step 2: Convert to fraction form
    230,919,911.20/318,414,105.84 = 147,155,348.80/x
  3. Step 3: Cross multiply
    230,919,911.20x = 318,414,105.84 × 147,155,348.80
  4. Step 4: Simplify right side
    230,919,911.20x = 46,856,338,807,725,320
  5. Step 5: Solve for x
    x = 46,856,338,807,725,320/230,919,911.20
  6. Step 6: Final answer
    x = 202,911,643.97

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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.