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Finding the Fourth Proportional to 299,552,491.80, 449,328,737.70 and 288,073,366.20

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Solution

The fourth proportional to 299,552,491.80, 449,328,737.70 and 288,073,366.20 is: 432,110,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,552,491.80 : 449,328,737.70 = 288,073,366.20 : x
  2. Step 2: Convert to fraction form
    299,552,491.80/449,328,737.70 = 288,073,366.20/x
  3. Step 3: Cross multiply
    299,552,491.80x = 449,328,737.70 × 288,073,366.20
  4. Step 4: Simplify right side
    299,552,491.80x = 129,439,641,999,635,840
  5. Step 5: Solve for x
    x = 129,439,641,999,635,840/299,552,491.80
  6. Step 6: Final answer
    x = 432,110,049.30

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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.