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Finding the Fourth Proportional to 25,824,103,627.70, 38,674,933,438.35 and 25,824,103,627.70

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Solution

The fourth proportional to 25,824,103,627.70, 38,674,933,438.35 and 25,824,103,627.70 is: 38,674,933,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824,103,627.70 : 38,674,933,438.35 = 25,824,103,627.70 : x
  2. Step 2: Convert to fraction form
    25,824,103,627.70/38,674,933,438.35 = 25,824,103,627.70/x
  3. Step 3: Cross multiply
    25,824,103,627.70x = 38,674,933,438.35 × 25,824,103,627.70
  4. Step 4: Simplify right side
    25,824,103,627.70x = 998,745,488,906,350,231,552
  5. Step 5: Solve for x
    x = 998,745,488,906,350,231,552/25,824,103,627.70
  6. Step 6: Final answer
    x = 38,674,933,438.35

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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.