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Finding the Fourth Proportional to 80,916,777,733.60, 121,375,166,600.40 and 80,916,777,733.60

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Solution

The fourth proportional to 80,916,777,733.60, 121,375,166,600.40 and 80,916,777,733.60 is: 121,375,166,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,916,777,733.60 : 121,375,166,600.40 = 80,916,777,733.60 : x
  2. Step 2: Convert to fraction form
    80,916,777,733.60/121,375,166,600.40 = 80,916,777,733.60/x
  3. Step 3: Cross multiply
    80,916,777,733.60x = 121,375,166,600.40 × 80,916,777,733.60
  4. Step 4: Simplify right side
    80,916,777,733.60x = 9,821,287,378,183,237,140,480
  5. Step 5: Solve for x
    x = 9,821,287,378,183,237,140,480/80,916,777,733.60
  6. Step 6: Final answer
    x = 121,375,166,600.40

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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.