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Finding the Fourth Proportional to 80,916,769,344.40, 121,375,154,016.60 and 80,916,769,344.40

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Solution

The fourth proportional to 80,916,769,344.40, 121,375,154,016.60 and 80,916,769,344.40 is: 121,375,154,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,916,769,344.40 : 121,375,154,016.60 = 80,916,769,344.40 : x
  2. Step 2: Convert to fraction form
    80,916,769,344.40/121,375,154,016.60 = 80,916,769,344.40/x
  3. Step 3: Cross multiply
    80,916,769,344.40x = 121,375,154,016.60 × 80,916,769,344.40
  4. Step 4: Simplify right side
    80,916,769,344.40x = 9,821,285,341,702,247,153,664
  5. Step 5: Solve for x
    x = 9,821,285,341,702,247,153,664/80,916,769,344.40
  6. Step 6: Final answer
    x = 121,375,154,016.60

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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.