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Finding the Fourth Proportional to 443,797,714.80, 665,696,572.20 and 185,198,524.20

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Solution

The fourth proportional to 443,797,714.80, 665,696,572.20 and 185,198,524.20 is: 277,797,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,797,714.80 : 665,696,572.20 = 185,198,524.20 : x
  2. Step 2: Convert to fraction form
    443,797,714.80/665,696,572.20 = 185,198,524.20/x
  3. Step 3: Cross multiply
    443,797,714.80x = 665,696,572.20 × 185,198,524.20
  4. Step 4: Simplify right side
    443,797,714.80x = 123,286,022,736,438,752
  5. Step 5: Solve for x
    x = 123,286,022,736,438,752/443,797,714.80
  6. Step 6: Final answer
    x = 277,797,786.30

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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.