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Finding the Fourth Proportional to 664,299,743.85, 996,449,615.78 and 664,299,743.85

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Solution

The fourth proportional to 664,299,743.85, 996,449,615.78 and 664,299,743.85 is: 996,449,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,299,743.85 : 996,449,615.78 = 664,299,743.85 : x
  2. Step 2: Convert to fraction form
    664,299,743.85/996,449,615.78 = 664,299,743.85/x
  3. Step 3: Cross multiply
    664,299,743.85x = 996,449,615.78 × 664,299,743.85
  4. Step 4: Simplify right side
    664,299,743.85x = 661,941,224,518,763,392
  5. Step 5: Solve for x
    x = 661,941,224,518,763,392/664,299,743.85
  6. Step 6: Final answer
    x = 996,449,615.78

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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.