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Finding the Fourth Proportional to 512,986,379.40, 769,479,569.10 and 149,492,593.80

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Solution

The fourth proportional to 512,986,379.40, 769,479,569.10 and 149,492,593.80 is: 224,238,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,986,379.40 : 769,479,569.10 = 149,492,593.80 : x
  2. Step 2: Convert to fraction form
    512,986,379.40/769,479,569.10 = 149,492,593.80/x
  3. Step 3: Cross multiply
    512,986,379.40x = 769,479,569.10 × 149,492,593.80
  4. Step 4: Simplify right side
    512,986,379.40x = 115,031,496,660,865,344
  5. Step 5: Solve for x
    x = 115,031,496,660,865,344/512,986,379.40
  6. Step 6: Final answer
    x = 224,238,890.70

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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.