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Finding the Fourth Proportional to 31,755,182,227.60, 47,632,773,341.40 and 31,755,182,227.60

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Solution

The fourth proportional to 31,755,182,227.60, 47,632,773,341.40 and 31,755,182,227.60 is: 47,632,773,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755,182,227.60 : 47,632,773,341.40 = 31,755,182,227.60 : x
  2. Step 2: Convert to fraction form
    31,755,182,227.60/47,632,773,341.40 = 31,755,182,227.60/x
  3. Step 3: Cross multiply
    31,755,182,227.60x = 47,632,773,341.40 × 31,755,182,227.60
  4. Step 4: Simplify right side
    31,755,182,227.60x = 1,512,587,397,462,124,396,544
  5. Step 5: Solve for x
    x = 1,512,587,397,462,124,396,544/31,755,182,227.60
  6. Step 6: Final answer
    x = 47,632,773,341.40

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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.