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Finding the Fourth Proportional to 279,936,277.80, 419,904,416.70 and 75,485,020.20

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Solution

The fourth proportional to 279,936,277.80, 419,904,416.70 and 75,485,020.20 is: 113,227,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,277.80 : 419,904,416.70 = 75,485,020.20 : x
  2. Step 2: Convert to fraction form
    279,936,277.80/419,904,416.70 = 75,485,020.20/x
  3. Step 3: Cross multiply
    279,936,277.80x = 419,904,416.70 × 75,485,020.20
  4. Step 4: Simplify right side
    279,936,277.80x = 31,696,493,376,668,716
  5. Step 5: Solve for x
    x = 31,696,493,376,668,716/279,936,277.80
  6. Step 6: Final answer
    x = 113,227,530.30

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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.