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Finding the Fourth Proportional to 27,251,145,911.80, 40,876,718,867.70 and 27,251,145,911.80

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Solution

The fourth proportional to 27,251,145,911.80, 40,876,718,867.70 and 27,251,145,911.80 is: 40,876,718,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251,145,911.80 : 40,876,718,867.70 = 27,251,145,911.80 : x
  2. Step 2: Convert to fraction form
    27,251,145,911.80/40,876,718,867.70 = 27,251,145,911.80/x
  3. Step 3: Cross multiply
    27,251,145,911.80x = 40,876,718,867.70 × 27,251,145,911.80
  4. Step 4: Simplify right side
    27,251,145,911.80x = 1,113,937,430,259,320,619,008
  5. Step 5: Solve for x
    x = 1,113,937,430,259,320,619,008/27,251,145,911.80
  6. Step 6: Final answer
    x = 40,876,718,867.70

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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.