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Finding the Fourth Proportional to 284,124,388.80, 426,385,648.80 and 182,136,446.40

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Solution

The fourth proportional to 284,124,388.80, 426,385,648.80 and 182,136,446.40 is: 273,332,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,124,388.80 : 426,385,648.80 = 182,136,446.40 : x
  2. Step 2: Convert to fraction form
    284,124,388.80/426,385,648.80 = 182,136,446.40/x
  3. Step 3: Cross multiply
    284,124,388.80x = 426,385,648.80 × 182,136,446.40
  4. Step 4: Simplify right side
    284,124,388.80x = 77,660,366,868,390,432
  5. Step 5: Solve for x
    x = 77,660,366,868,390,432/284,124,388.80
  6. Step 6: Final answer
    x = 273,332,279.56

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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.