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Finding the Fourth Proportional to 33,378,049,642.60, 50,067,074,463.90 and 33,378,049,642.60

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Solution

The fourth proportional to 33,378,049,642.60, 50,067,074,463.90 and 33,378,049,642.60 is: 50,067,074,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378,049,642.60 : 50,067,074,463.90 = 33,378,049,642.60 : x
  2. Step 2: Convert to fraction form
    33,378,049,642.60/50,067,074,463.90 = 33,378,049,642.60/x
  3. Step 3: Cross multiply
    33,378,049,642.60x = 50,067,074,463.90 × 33,378,049,642.60
  4. Step 4: Simplify right side
    33,378,049,642.60x = 1,671,141,296,915,804,848,128
  5. Step 5: Solve for x
    x = 1,671,141,296,915,804,848,128/33,378,049,642.60
  6. Step 6: Final answer
    x = 50,067,074,463.90

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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.