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Finding the Fourth Proportional to 81,657,515,262.90, 122,486,272,894.35 and 81,657,515,262.90

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Solution

The fourth proportional to 81,657,515,262.90, 122,486,272,894.35 and 81,657,515,262.90 is: 122,486,272,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657,515,262.90 : 122,486,272,894.35 = 81,657,515,262.90 : x
  2. Step 2: Convert to fraction form
    81,657,515,262.90/122,486,272,894.35 = 81,657,515,262.90/x
  3. Step 3: Cross multiply
    81,657,515,262.90x = 122,486,272,894.35 × 81,657,515,262.90
  4. Step 4: Simplify right side
    81,657,515,262.90x = 10,001,924,698,366,120,296,448
  5. Step 5: Solve for x
    x = 10,001,924,698,366,120,296,448/81,657,515,262.90
  6. Step 6: Final answer
    x = 122,486,272,894.35

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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.