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Finding the Fourth Proportional to 786,422,114.20, 1,179,633,171.30 and 786,422,114.20

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Solution

The fourth proportional to 786,422,114.20, 1,179,633,171.30 and 786,422,114.20 is: 1,179,633,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,422,114.20 : 1,179,633,171.30 = 786,422,114.20 : x
  2. Step 2: Convert to fraction form
    786,422,114.20/1,179,633,171.30 = 786,422,114.20/x
  3. Step 3: Cross multiply
    786,422,114.20x = 1,179,633,171.30 × 786,422,114.20
  4. Step 4: Simplify right side
    786,422,114.20x = 927,689,612,554,196,736
  5. Step 5: Solve for x
    x = 927,689,612,554,196,736/786,422,114.20
  6. Step 6: Final answer
    x = 1,179,633,171.30

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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.