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Finding the Fourth Proportional to 26,972,259,245.70, 40,458,388,868.55 and 26,972,259,245.70

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Solution

The fourth proportional to 26,972,259,245.70, 40,458,388,868.55 and 26,972,259,245.70 is: 40,458,388,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972,259,245.70 : 40,458,388,868.55 = 26,972,259,245.70 : x
  2. Step 2: Convert to fraction form
    26,972,259,245.70/40,458,388,868.55 = 26,972,259,245.70/x
  3. Step 3: Cross multiply
    26,972,259,245.70x = 40,458,388,868.55 × 26,972,259,245.70
  4. Step 4: Simplify right side
    26,972,259,245.70x = 1,091,254,153,225,873,784,832
  5. Step 5: Solve for x
    x = 1,091,254,153,225,873,784,832/26,972,259,245.70
  6. Step 6: Final answer
    x = 40,458,388,868.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.