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Finding the Fourth Proportional to 129,969,643,512.60, 194,954,465,268.90 and 129,969,643,512.60

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Solution

The fourth proportional to 129,969,643,512.60, 194,954,465,268.90 and 129,969,643,512.60 is: 194,954,465,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969,643,512.60 : 194,954,465,268.90 = 129,969,643,512.60 : x
  2. Step 2: Convert to fraction form
    129,969,643,512.60/194,954,465,268.90 = 129,969,643,512.60/x
  3. Step 3: Cross multiply
    129,969,643,512.60x = 194,954,465,268.90 × 129,969,643,512.60
  4. Step 4: Simplify right side
    129,969,643,512.60x = 25,338,162,352,188,492,349,440
  5. Step 5: Solve for x
    x = 25,338,162,352,188,492,349,440/129,969,643,512.60
  6. Step 6: Final answer
    x = 194,954,465,268.90

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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.