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Finding the Fourth Proportional to 267,982,607.20, 401,761,334.40 and 146,814,059.20

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Solution

The fourth proportional to 267,982,607.20, 401,761,334.40 and 146,814,059.20 is: 220,104,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,982,607.20 : 401,761,334.40 = 146,814,059.20 : x
  2. Step 2: Convert to fraction form
    267,982,607.20/401,761,334.40 = 146,814,059.20/x
  3. Step 3: Cross multiply
    267,982,607.20x = 401,761,334.40 × 146,814,059.20
  4. Step 4: Simplify right side
    267,982,607.20x = 58,984,212,332,872,592
  5. Step 5: Solve for x
    x = 58,984,212,332,872,592/267,982,607.20
  6. Step 6: Final answer
    x = 220,104,628.99

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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.