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Finding the Fourth Proportional to 512,521,331.41, 768,913,042.16 and 149,015,687.41

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Solution

The fourth proportional to 512,521,331.41, 768,913,042.16 and 149,015,687.41 is: 223,561,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,521,331.41 : 768,913,042.16 = 149,015,687.41 : x
  2. Step 2: Convert to fraction form
    512,521,331.41/768,913,042.16 = 149,015,687.41/x
  3. Step 3: Cross multiply
    512,521,331.41x = 768,913,042.16 × 149,015,687.41
  4. Step 4: Simplify right side
    512,521,331.41x = 114,580,105,535,986,704
  5. Step 5: Solve for x
    x = 114,580,105,535,986,704/512,521,331.41
  6. Step 6: Final answer
    x = 223,561,632.49

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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.