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Finding the Fourth Proportional to 951,096,494.22, 1,307,858,866.38 and 825,430,520.28

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Solution

The fourth proportional to 951,096,494.22, 1,307,858,866.38 and 825,430,520.28 is: 1,135,054,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,096,494.22 : 1,307,858,866.38 = 825,430,520.28 : x
  2. Step 2: Convert to fraction form
    951,096,494.22/1,307,858,866.38 = 825,430,520.28/x
  3. Step 3: Cross multiply
    951,096,494.22x = 1,307,858,866.38 × 825,430,520.28
  4. Step 4: Simplify right side
    951,096,494.22x = 1,079,546,624,528,854,400
  5. Step 5: Solve for x
    x = 1,079,546,624,528,854,400/951,096,494.22
  6. Step 6: Final answer
    x = 1,135,054,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.