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Finding the Fourth Proportional to 128,715,696,599.85, 193,073,544,899.78 and 128,715,696,599.85

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Solution

The fourth proportional to 128,715,696,599.85, 193,073,544,899.78 and 128,715,696,599.85 is: 193,073,544,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715,696,599.85 : 193,073,544,899.78 = 128,715,696,599.85 : x
  2. Step 2: Convert to fraction form
    128,715,696,599.85/193,073,544,899.78 = 128,715,696,599.85/x
  3. Step 3: Cross multiply
    128,715,696,599.85x = 193,073,544,899.78 × 128,715,696,599.85
  4. Step 4: Simplify right side
    128,715,696,599.85x = 24,851,595,826,777,601,081,344
  5. Step 5: Solve for x
    x = 24,851,595,826,777,601,081,344/128,715,696,599.85
  6. Step 6: Final answer
    x = 193,073,544,899.78

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1.5x scale

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.