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Finding the Fourth Proportional to 950,942,175.30, 1,328,598,067.50 and 950,942,175.30

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Solution

The fourth proportional to 950,942,175.30, 1,328,598,067.50 and 950,942,175.30 is: 1,328,598,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,942,175.30 : 1,328,598,067.50 = 950,942,175.30 : x
  2. Step 2: Convert to fraction form
    950,942,175.30/1,328,598,067.50 = 950,942,175.30/x
  3. Step 3: Cross multiply
    950,942,175.30x = 1,328,598,067.50 × 950,942,175.30
  4. Step 4: Simplify right side
    950,942,175.30x = 1,263,419,936,407,826,176
  5. Step 5: Solve for x
    x = 1,263,419,936,407,826,176/950,942,175.30
  6. Step 6: Final answer
    x = 1,328,598,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.