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Finding the Fourth Proportional to 641,982,074.20, 962,973,111.30 and 412,399,562.20

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Solution

The fourth proportional to 641,982,074.20, 962,973,111.30 and 412,399,562.20 is: 618,599,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,982,074.20 : 962,973,111.30 = 412,399,562.20 : x
  2. Step 2: Convert to fraction form
    641,982,074.20/962,973,111.30 = 412,399,562.20/x
  3. Step 3: Cross multiply
    641,982,074.20x = 962,973,111.30 × 412,399,562.20
  4. Step 4: Simplify right side
    641,982,074.20x = 397,129,689,510,491,840
  5. Step 5: Solve for x
    x = 397,129,689,510,491,840/641,982,074.20
  6. Step 6: Final answer
    x = 618,599,343.30

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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.