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Finding the Fourth Proportional to 50,067,074,529.53, 75,100,611,794.29 and 50,067,074,529.53

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Solution

The fourth proportional to 50,067,074,529.53, 75,100,611,794.29 and 50,067,074,529.53 is: 75,100,611,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,067,074,529.53 : 75,100,611,794.29 = 50,067,074,529.53 : x
  2. Step 2: Convert to fraction form
    50,067,074,529.53/75,100,611,794.29 = 50,067,074,529.53/x
  3. Step 3: Cross multiply
    50,067,074,529.53x = 75,100,611,794.29 × 50,067,074,529.53
  4. Step 4: Simplify right side
    50,067,074,529.53x = 3,760,067,927,917,541,195,776
  5. Step 5: Solve for x
    x = 3,760,067,927,917,541,195,776/50,067,074,529.53
  6. Step 6: Final answer
    x = 75,100,611,794.29

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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.