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Finding the Fourth Proportional to 499,484,751.80, 749,227,127.70 and 491,832,001.40

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Solution

The fourth proportional to 499,484,751.80, 749,227,127.70 and 491,832,001.40 is: 737,748,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,484,751.80 : 749,227,127.70 = 491,832,001.40 : x
  2. Step 2: Convert to fraction form
    499,484,751.80/749,227,127.70 = 491,832,001.40/x
  3. Step 3: Cross multiply
    499,484,751.80x = 749,227,127.70 × 491,832,001.40
  4. Step 4: Simplify right side
    499,484,751.80x = 368,493,877,719,864,384
  5. Step 5: Solve for x
    x = 368,493,877,719,864,384/499,484,751.80
  6. Step 6: Final answer
    x = 737,748,002.10

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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.