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Finding the Fourth Proportional to 13,738,752,067.70, 20,608,128,101.56 and 13,738,752,067.70

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Solution

The fourth proportional to 13,738,752,067.70, 20,608,128,101.56 and 13,738,752,067.70 is: 20,608,128,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738,752,067.70 : 20,608,128,101.56 = 13,738,752,067.70 : x
  2. Step 2: Convert to fraction form
    13,738,752,067.70/20,608,128,101.56 = 13,738,752,067.70/x
  3. Step 3: Cross multiply
    13,738,752,067.70x = 20,608,128,101.56 × 13,738,752,067.70
  4. Step 4: Simplify right side
    13,738,752,067.70x = 283,129,962,566,733,955,072
  5. Step 5: Solve for x
    x = 283,129,962,566,733,955,072/13,738,752,067.70
  6. Step 6: Final answer
    x = 20,608,128,101.56

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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.