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Finding the Fourth Proportional to 682,737,737.40, 1,023,691,902 and 267,717,358.20

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Solution

The fourth proportional to 682,737,737.40, 1,023,691,902 and 267,717,358.20 is: 401,413,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,737,737.40 : 1,023,691,902 = 267,717,358.20 : x
  2. Step 2: Convert to fraction form
    682,737,737.40/1,023,691,902 = 267,717,358.20/x
  3. Step 3: Cross multiply
    682,737,737.40x = 1,023,691,902 × 267,717,358.20
  4. Step 4: Simplify right side
    682,737,737.40x = 274,060,091,614,173,280
  5. Step 5: Solve for x
    x = 274,060,091,614,173,280/682,737,737.40
  6. Step 6: Final answer
    x = 401,413,422.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.