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Finding the Fourth Proportional to 280,676,643.68, 420,684,335.78 and 114,576,414.87

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Solution

The fourth proportional to 280,676,643.68, 420,684,335.78 and 114,576,414.87 is: 171,729,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,676,643.68 : 420,684,335.78 = 114,576,414.87 : x
  2. Step 2: Convert to fraction form
    280,676,643.68/420,684,335.78 = 114,576,414.87/x
  3. Step 3: Cross multiply
    280,676,643.68x = 420,684,335.78 × 114,576,414.87
  4. Step 4: Simplify right side
    280,676,643.68x = 48,200,502,986,644,344
  5. Step 5: Solve for x
    x = 48,200,502,986,644,344/280,676,643.68
  6. Step 6: Final answer
    x = 171,729,654.29

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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.