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Finding the Fourth Proportional to 80,695,657,101.60, 120,825,807,418.80 and 80,695,657,101.60

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Solution

The fourth proportional to 80,695,657,101.60, 120,825,807,418.80 and 80,695,657,101.60 is: 120,825,807,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,695,657,101.60 : 120,825,807,418.80 = 80,695,657,101.60 : x
  2. Step 2: Convert to fraction form
    80,695,657,101.60/120,825,807,418.80 = 80,695,657,101.60/x
  3. Step 3: Cross multiply
    80,695,657,101.60x = 120,825,807,418.80 × 80,695,657,101.60
  4. Step 4: Simplify right side
    80,695,657,101.60x = 9,750,117,924,491,443,044,352
  5. Step 5: Solve for x
    x = 9,750,117,924,491,443,044,352/80,695,657,101.60
  6. Step 6: Final answer
    x = 120,825,807,418.80

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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.