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Finding the Fourth Proportional to 559,876,766.80, 839,815,150.20 and 442,975,493.20

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Solution

The fourth proportional to 559,876,766.80, 839,815,150.20 and 442,975,493.20 is: 664,463,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,766.80 : 839,815,150.20 = 442,975,493.20 : x
  2. Step 2: Convert to fraction form
    559,876,766.80/839,815,150.20 = 442,975,493.20/x
  3. Step 3: Cross multiply
    559,876,766.80x = 839,815,150.20 × 442,975,493.20
  4. Step 4: Simplify right side
    559,876,766.80x = 372,017,530,356,677,120
  5. Step 5: Solve for x
    x = 372,017,530,356,677,120/559,876,766.80
  6. Step 6: Final answer
    x = 664,463,239.80

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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.