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Finding the Fourth Proportional to 874,375,731.70, 1,312,067,482.35 and 329,508,301.30

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Solution

The fourth proportional to 874,375,731.70, 1,312,067,482.35 and 329,508,301.30 is: 494,452,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,375,731.70 : 1,312,067,482.35 = 329,508,301.30 : x
  2. Step 2: Convert to fraction form
    874,375,731.70/1,312,067,482.35 = 329,508,301.30/x
  3. Step 3: Cross multiply
    874,375,731.70x = 1,312,067,482.35 × 329,508,301.30
  4. Step 4: Simplify right side
    874,375,731.70x = 432,337,127,300,116,224
  5. Step 5: Solve for x
    x = 432,337,127,300,116,224/874,375,731.70
  6. Step 6: Final answer
    x = 494,452,340.83

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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.