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Finding the Fourth Proportional to 129,969,643,500.22, 194,954,465,250.33 and 129,969,643,500.22

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Solution

The fourth proportional to 129,969,643,500.22, 194,954,465,250.33 and 129,969,643,500.22 is: 194,954,465,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969,643,500.22 : 194,954,465,250.33 = 129,969,643,500.22 : x
  2. Step 2: Convert to fraction form
    129,969,643,500.22/194,954,465,250.33 = 129,969,643,500.22/x
  3. Step 3: Cross multiply
    129,969,643,500.22x = 194,954,465,250.33 × 129,969,643,500.22
  4. Step 4: Simplify right side
    129,969,643,500.22x = 25,338,162,347,361,418,870,784
  5. Step 5: Solve for x
    x = 25,338,162,347,361,418,870,784/129,969,643,500.22
  6. Step 6: Final answer
    x = 194,954,465,250.33

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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.