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Finding the Fourth Proportional to 25,645,815,611.40, 38,468,723,417.10 and 25,645,815,611.40

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Solution

The fourth proportional to 25,645,815,611.40, 38,468,723,417.10 and 25,645,815,611.40 is: 38,468,723,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645,815,611.40 : 38,468,723,417.10 = 25,645,815,611.40 : x
  2. Step 2: Convert to fraction form
    25,645,815,611.40/38,468,723,417.10 = 25,645,815,611.40/x
  3. Step 3: Cross multiply
    25,645,815,611.40x = 38,468,723,417.10 × 25,645,815,611.40
  4. Step 4: Simplify right side
    25,645,815,611.40x = 986,561,787,560,891,908,096
  5. Step 5: Solve for x
    x = 986,561,787,560,891,908,096/25,645,815,611.40
  6. Step 6: Final answer
    x = 38,468,723,417.10

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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.