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Finding the Fourth Proportional to 633,865,251,203.80, 950,797,876,805.60 and 633,865,251,203.80

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Solution

The fourth proportional to 633,865,251,203.80, 950,797,876,805.60 and 633,865,251,203.80 is: 950,797,876,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,865,251,203.80 : 950,797,876,805.60 = 633,865,251,203.80 : x
  2. Step 2: Convert to fraction form
    633,865,251,203.80/950,797,876,805.60 = 633,865,251,203.80/x
  3. Step 3: Cross multiply
    633,865,251,203.80x = 950,797,876,805.60 × 633,865,251,203.80
  4. Step 4: Simplify right side
    633,865,251,203.80x = 602,677,735,025,421,347,454,976
  5. Step 5: Solve for x
    x = 602,677,735,025,421,347,454,976/633,865,251,203.80
  6. Step 6: Final answer
    x = 950,797,876,805.60

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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.