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Finding the Fourth Proportional to 492,700,421.62, 738,956,445.61 and 147,654,048.59

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Solution

The fourth proportional to 492,700,421.62, 738,956,445.61 and 147,654,048.59 is: 221,452,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,700,421.62 : 738,956,445.61 = 147,654,048.59 : x
  2. Step 2: Convert to fraction form
    492,700,421.62/738,956,445.61 = 147,654,048.59/x
  3. Step 3: Cross multiply
    492,700,421.62x = 738,956,445.61 × 147,654,048.59
  4. Step 4: Simplify right side
    492,700,421.62x = 109,109,910,925,992,640
  5. Step 5: Solve for x
    x = 109,109,910,925,992,640/492,700,421.62
  6. Step 6: Final answer
    x = 221,452,846.68

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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.