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Finding the Fourth Proportional to 664,279,967.95, 996,419,951.93 and 664,279,967.95

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Solution

The fourth proportional to 664,279,967.95, 996,419,951.93 and 664,279,967.95 is: 996,419,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,279,967.95 : 996,419,951.93 = 664,279,967.95 : x
  2. Step 2: Convert to fraction form
    664,279,967.95/996,419,951.93 = 664,279,967.95/x
  3. Step 3: Cross multiply
    664,279,967.95x = 996,419,951.93 × 664,279,967.95
  4. Step 4: Simplify right side
    664,279,967.95x = 661,901,813,732,800,896
  5. Step 5: Solve for x
    x = 661,901,813,732,800,896/664,279,967.95
  6. Step 6: Final answer
    x = 996,419,951.93

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Similar ratio
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1.5x scale

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.