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Finding the Fourth Proportional to 766,930,869.45, 1,150,396,304.18 and 766,930,869.45

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Solution

The fourth proportional to 766,930,869.45, 1,150,396,304.18 and 766,930,869.45 is: 1,150,396,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,930,869.45 : 1,150,396,304.18 = 766,930,869.45 : x
  2. Step 2: Convert to fraction form
    766,930,869.45/1,150,396,304.18 = 766,930,869.45/x
  3. Step 3: Cross multiply
    766,930,869.45x = 1,150,396,304.18 × 766,930,869.45
  4. Step 4: Simplify right side
    766,930,869.45x = 882,274,437,772,999,424
  5. Step 5: Solve for x
    x = 882,274,437,772,999,424/766,930,869.45
  6. Step 6: Final answer
    x = 1,150,396,304.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.