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Finding the Fourth Proportional to 202,067,810.40, 303,101,715.60 and 137,497,728.90

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Solution

The fourth proportional to 202,067,810.40, 303,101,715.60 and 137,497,728.90 is: 206,246,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,067,810.40 : 303,101,715.60 = 137,497,728.90 : x
  2. Step 2: Convert to fraction form
    202,067,810.40/303,101,715.60 = 137,497,728.90/x
  3. Step 3: Cross multiply
    202,067,810.40x = 303,101,715.60 × 137,497,728.90
  4. Step 4: Simplify right side
    202,067,810.40x = 41,675,797,520,693,704
  5. Step 5: Solve for x
    x = 41,675,797,520,693,704/202,067,810.40
  6. Step 6: Final answer
    x = 206,246,593.35

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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.