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Finding the Fourth Proportional to 492,700,422.50, 738,956,446.91 and 147,654,049.47

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Solution

The fourth proportional to 492,700,422.50, 738,956,446.91 and 147,654,049.47 is: 221,452,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,700,422.50 : 738,956,446.91 = 147,654,049.47 : x
  2. Step 2: Convert to fraction form
    492,700,422.50/738,956,446.91 = 147,654,049.47/x
  3. Step 3: Cross multiply
    492,700,422.50x = 738,956,446.91 × 147,654,049.47
  4. Step 4: Simplify right side
    492,700,422.50x = 109,109,911,768,593,712
  5. Step 5: Solve for x
    x = 109,109,911,768,593,712/492,700,422.50
  6. Step 6: Final answer
    x = 221,452,847.99

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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.