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Finding the Fourth Proportional to 665,497,029.85, 998,245,544.78 and 665,497,029.85

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Solution

The fourth proportional to 665,497,029.85, 998,245,544.78 and 665,497,029.85 is: 998,245,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,497,029.85 : 998,245,544.78 = 665,497,029.85 : x
  2. Step 2: Convert to fraction form
    665,497,029.85/998,245,544.78 = 665,497,029.85/x
  3. Step 3: Cross multiply
    665,497,029.85x = 998,245,544.78 × 665,497,029.85
  4. Step 4: Simplify right side
    665,497,029.85x = 664,329,445,108,757,632
  5. Step 5: Solve for x
    x = 664,329,445,108,757,632/665,497,029.85
  6. Step 6: Final answer
    x = 998,245,544.78

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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.