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Finding the Fourth Proportional to 220,490,967.46, 330,736,451.08 and 82,327,364.42

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Solution

The fourth proportional to 220,490,967.46, 330,736,451.08 and 82,327,364.42 is: 123,491,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,490,967.46 : 330,736,451.08 = 82,327,364.42 : x
  2. Step 2: Convert to fraction form
    220,490,967.46/330,736,451.08 = 82,327,364.42/x
  3. Step 3: Cross multiply
    220,490,967.46x = 330,736,451.08 × 82,327,364.42
  4. Step 4: Simplify right side
    220,490,967.46x = 27,228,660,334,008,004
  5. Step 5: Solve for x
    x = 27,228,660,334,008,004/220,490,967.46
  6. Step 6: Final answer
    x = 123,491,046.58

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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.