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Finding the Fourth Proportional to 129,969,643,516.35, 194,954,465,274.53 and 129,969,643,516.35

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Solution

The fourth proportional to 129,969,643,516.35, 194,954,465,274.53 and 129,969,643,516.35 is: 194,954,465,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969,643,516.35 : 194,954,465,274.53 = 129,969,643,516.35 : x
  2. Step 2: Convert to fraction form
    129,969,643,516.35/194,954,465,274.53 = 129,969,643,516.35/x
  3. Step 3: Cross multiply
    129,969,643,516.35x = 194,954,465,274.53 × 129,969,643,516.35
  4. Step 4: Simplify right side
    129,969,643,516.35x = 25,338,162,353,651,302,006,784
  5. Step 5: Solve for x
    x = 25,338,162,353,651,302,006,784/129,969,643,516.35
  6. Step 6: Final answer
    x = 194,954,465,274.53

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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.