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Finding the Fourth Proportional to 559,872,089.20, 839,808,133.80 and 414,753,266.80

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Solution

The fourth proportional to 559,872,089.20, 839,808,133.80 and 414,753,266.80 is: 622,129,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,089.20 : 839,808,133.80 = 414,753,266.80 : x
  2. Step 2: Convert to fraction form
    559,872,089.20/839,808,133.80 = 414,753,266.80/x
  3. Step 3: Cross multiply
    559,872,089.20x = 839,808,133.80 × 414,753,266.80
  4. Step 4: Simplify right side
    559,872,089.20x = 348,313,166,978,761,472
  5. Step 5: Solve for x
    x = 348,313,166,978,761,472/559,872,089.20
  6. Step 6: Final answer
    x = 622,129,900.20

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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.