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Finding the Fourth Proportional to 437,098,461.80, 655,647,692.70 and 412,016,196.20

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Solution

The fourth proportional to 437,098,461.80, 655,647,692.70 and 412,016,196.20 is: 618,024,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,098,461.80 : 655,647,692.70 = 412,016,196.20 : x
  2. Step 2: Convert to fraction form
    437,098,461.80/655,647,692.70 = 412,016,196.20/x
  3. Step 3: Cross multiply
    437,098,461.80x = 655,647,692.70 × 412,016,196.20
  4. Step 4: Simplify right side
    437,098,461.80x = 270,137,468,393,560,512
  5. Step 5: Solve for x
    x = 270,137,468,393,560,512/437,098,461.80
  6. Step 6: Final answer
    x = 618,024,294.30

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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.