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Finding the Fourth Proportional to 419,877,838.80, 629,816,758.20 and 238,479,310.80

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Solution

The fourth proportional to 419,877,838.80, 629,816,758.20 and 238,479,310.80 is: 357,718,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,877,838.80 : 629,816,758.20 = 238,479,310.80 : x
  2. Step 2: Convert to fraction form
    419,877,838.80/629,816,758.20 = 238,479,310.80/x
  3. Step 3: Cross multiply
    419,877,838.80x = 629,816,758.20 × 238,479,310.80
  4. Step 4: Simplify right side
    419,877,838.80x = 150,198,266,425,826,272
  5. Step 5: Solve for x
    x = 150,198,266,425,826,272/419,877,838.80
  6. Step 6: Final answer
    x = 357,718,966.20

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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.