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Finding the Fourth Proportional to 874,375,743.70, 1,312,067,500.35 and 329,508,313.30

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Solution

The fourth proportional to 874,375,743.70, 1,312,067,500.35 and 329,508,313.30 is: 494,452,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,375,743.70 : 1,312,067,500.35 = 329,508,313.30 : x
  2. Step 2: Convert to fraction form
    874,375,743.70/1,312,067,500.35 = 329,508,313.30/x
  3. Step 3: Cross multiply
    874,375,743.70x = 1,312,067,500.35 × 329,508,313.30
  4. Step 4: Simplify right side
    874,375,743.70x = 432,337,148,976,075,648
  5. Step 5: Solve for x
    x = 432,337,148,976,075,648/874,375,743.70
  6. Step 6: Final answer
    x = 494,452,358.83

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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.