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Finding the Fourth Proportional to 633,865,251,204.75, 950,797,876,807.10 and 633,865,251,204.75

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Solution

The fourth proportional to 633,865,251,204.75, 950,797,876,807.10 and 633,865,251,204.75 is: 950,797,876,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,865,251,204.75 : 950,797,876,807.10 = 633,865,251,204.75 : x
  2. Step 2: Convert to fraction form
    633,865,251,204.75/950,797,876,807.10 = 633,865,251,204.75/x
  3. Step 3: Cross multiply
    633,865,251,204.75x = 950,797,876,807.10 × 633,865,251,204.75
  4. Step 4: Simplify right side
    633,865,251,204.75x = 602,677,735,027,275,364,040,704
  5. Step 5: Solve for x
    x = 602,677,735,027,275,364,040,704/633,865,251,204.75
  6. Step 6: Final answer
    x = 950,797,876,807.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.