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Finding the Fourth Proportional to 559,872,146.20, 839,808,219.30 and 414,753,323.80

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Solution

The fourth proportional to 559,872,146.20, 839,808,219.30 and 414,753,323.80 is: 622,129,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,146.20 : 839,808,219.30 = 414,753,323.80 : x
  2. Step 2: Convert to fraction form
    559,872,146.20/839,808,219.30 = 414,753,323.80/x
  3. Step 3: Cross multiply
    559,872,146.20x = 839,808,219.30 × 414,753,323.80
  4. Step 4: Simplify right side
    559,872,146.20x = 348,313,250,309,234,304
  5. Step 5: Solve for x
    x = 348,313,250,309,234,304/559,872,146.20
  6. Step 6: Final answer
    x = 622,129,985.70

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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.