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Finding the Fourth Proportional to 308,731,609.80, 463,097,414.70 and 155,676,601.80

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Solution

The fourth proportional to 308,731,609.80, 463,097,414.70 and 155,676,601.80 is: 233,514,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,731,609.80 : 463,097,414.70 = 155,676,601.80 : x
  2. Step 2: Convert to fraction form
    308,731,609.80/463,097,414.70 = 155,676,601.80/x
  3. Step 3: Cross multiply
    308,731,609.80x = 463,097,414.70 × 155,676,601.80
  4. Step 4: Simplify right side
    308,731,609.80x = 72,093,431,822,861,376
  5. Step 5: Solve for x
    x = 72,093,431,822,861,376/308,731,609.80
  6. Step 6: Final answer
    x = 233,514,902.70

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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.