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Finding the Fourth Proportional to 2,002,040,892.53, 3,003,061,338.79 and 2,002,040,892.53

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Solution

The fourth proportional to 2,002,040,892.53, 3,003,061,338.79 and 2,002,040,892.53 is: 3,003,061,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,040,892.53 : 3,003,061,338.79 = 2,002,040,892.53 : x
  2. Step 2: Convert to fraction form
    2,002,040,892.53/3,003,061,338.79 = 2,002,040,892.53/x
  3. Step 3: Cross multiply
    2,002,040,892.53x = 3,003,061,338.79 × 2,002,040,892.53
  4. Step 4: Simplify right side
    2,002,040,892.53x = 6,012,251,603,013,447,680
  5. Step 5: Solve for x
    x = 6,012,251,603,013,447,680/2,002,040,892.53
  6. Step 6: Final answer
    x = 3,003,061,338.79

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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.