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Finding the Fourth Proportional to 274,628,569.20, 412,614,700.20 and 206,604,121.20

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Solution

The fourth proportional to 274,628,569.20, 412,614,700.20 and 206,604,121.20 is: 310,411,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,628,569.20 : 412,614,700.20 = 206,604,121.20 : x
  2. Step 2: Convert to fraction form
    274,628,569.20/412,614,700.20 = 206,604,121.20/x
  3. Step 3: Cross multiply
    274,628,569.20x = 412,614,700.20 × 206,604,121.20
  4. Step 4: Simplify right side
    274,628,569.20x = 85,247,897,529,022,464
  5. Step 5: Solve for x
    x = 85,247,897,529,022,464/274,628,569.20
  6. Step 6: Final answer
    x = 310,411,614.41

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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.