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Finding the Fourth Proportional to 664,243,698.80, 996,932,418.60 and 296,344,809.20

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Solution

The fourth proportional to 664,243,698.80, 996,932,418.60 and 296,344,809.20 is: 444,770,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,243,698.80 : 996,932,418.60 = 296,344,809.20 : x
  2. Step 2: Convert to fraction form
    664,243,698.80/996,932,418.60 = 296,344,809.20/x
  3. Step 3: Cross multiply
    664,243,698.80x = 996,932,418.60 × 296,344,809.20
  4. Step 4: Simplify right side
    664,243,698.80x = 295,435,747,375,311,552
  5. Step 5: Solve for x
    x = 295,435,747,375,311,552/664,243,698.80
  6. Step 6: Final answer
    x = 444,770,116.61

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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.