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Finding the Fourth Proportional to 633,865,251,207.80, 950,797,876,811.55 and 633,865,251,207.80

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Solution

The fourth proportional to 633,865,251,207.80, 950,797,876,811.55 and 633,865,251,207.80 is: 950,797,876,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,865,251,207.80 : 950,797,876,811.55 = 633,865,251,207.80 : x
  2. Step 2: Convert to fraction form
    633,865,251,207.80/950,797,876,811.55 = 633,865,251,207.80/x
  3. Step 3: Cross multiply
    633,865,251,207.80x = 950,797,876,811.55 × 633,865,251,207.80
  4. Step 4: Simplify right side
    633,865,251,207.80x = 602,677,735,032,996,126,261,248
  5. Step 5: Solve for x
    x = 602,677,735,032,996,126,261,248/633,865,251,207.80
  6. Step 6: Final answer
    x = 950,797,876,811.55

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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.