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Finding the Fourth Proportional to 18,138,508,716.40, 27,207,763,074.60 and 18,138,508,716.40

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Solution

The fourth proportional to 18,138,508,716.40, 27,207,763,074.60 and 18,138,508,716.40 is: 27,207,763,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138,508,716.40 : 27,207,763,074.60 = 18,138,508,716.40 : x
  2. Step 2: Convert to fraction form
    18,138,508,716.40/27,207,763,074.60 = 18,138,508,716.40/x
  3. Step 3: Cross multiply
    18,138,508,716.40x = 27,207,763,074.60 × 18,138,508,716.40
  4. Step 4: Simplify right side
    18,138,508,716.40x = 493,508,247,682,378,170,368
  5. Step 5: Solve for x
    x = 493,508,247,682,378,170,368/18,138,508,716.40
  6. Step 6: Final answer
    x = 27,207,763,074.60

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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.