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Finding the Fourth Proportional to 117,727,992,055.20, 176,591,988,082.80 and 117,727,992,055.20

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Solution

The fourth proportional to 117,727,992,055.20, 176,591,988,082.80 and 117,727,992,055.20 is: 176,591,988,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,727,992,055.20 : 176,591,988,082.80 = 117,727,992,055.20 : x
  2. Step 2: Convert to fraction form
    117,727,992,055.20/176,591,988,082.80 = 117,727,992,055.20/x
  3. Step 3: Cross multiply
    117,727,992,055.20x = 176,591,988,082.80 × 117,727,992,055.20
  4. Step 4: Simplify right side
    117,727,992,055.20x = 20,789,820,170,023,850,737,664
  5. Step 5: Solve for x
    x = 20,789,820,170,023,850,737,664/117,727,992,055.20
  6. Step 6: Final answer
    x = 176,591,988,082.80

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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.