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Finding the Fourth Proportional to 436,747,002,502.20, 655,120,503,753.30 and 436,747,002,502.20

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Solution

The fourth proportional to 436,747,002,502.20, 655,120,503,753.30 and 436,747,002,502.20 is: 655,120,503,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,747,002,502.20 : 655,120,503,753.30 = 436,747,002,502.20 : x
  2. Step 2: Convert to fraction form
    436,747,002,502.20/655,120,503,753.30 = 436,747,002,502.20/x
  3. Step 3: Cross multiply
    436,747,002,502.20x = 655,120,503,753.30 × 436,747,002,502.20
  4. Step 4: Simplify right side
    436,747,002,502.20x = 286,121,916,291,985,075,863,552
  5. Step 5: Solve for x
    x = 286,121,916,291,985,075,863,552/436,747,002,502.20
  6. Step 6: Final answer
    x = 655,120,503,753.30

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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.