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Finding the Fourth Proportional to 224,654,468.20, 336,981,702.30 and 146,720,285.80

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Solution

The fourth proportional to 224,654,468.20, 336,981,702.30 and 146,720,285.80 is: 220,080,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,654,468.20 : 336,981,702.30 = 146,720,285.80 : x
  2. Step 2: Convert to fraction form
    224,654,468.20/336,981,702.30 = 146,720,285.80/x
  3. Step 3: Cross multiply
    224,654,468.20x = 336,981,702.30 × 146,720,285.80
  4. Step 4: Simplify right side
    224,654,468.20x = 49,442,051,670,826,520
  5. Step 5: Solve for x
    x = 49,442,051,670,826,520/224,654,468.20
  6. Step 6: Final answer
    x = 220,080,428.70

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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.