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Finding the Fourth Proportional to 801,438,676.20, 1,202,158,014.30 and 801,438,676.20

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Solution

The fourth proportional to 801,438,676.20, 1,202,158,014.30 and 801,438,676.20 is: 1,202,158,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,438,676.20 : 1,202,158,014.30 = 801,438,676.20 : x
  2. Step 2: Convert to fraction form
    801,438,676.20/1,202,158,014.30 = 801,438,676.20/x
  3. Step 3: Cross multiply
    801,438,676.20x = 1,202,158,014.30 × 801,438,676.20
  4. Step 4: Simplify right side
    801,438,676.20x = 963,455,927,563,812,736
  5. Step 5: Solve for x
    x = 963,455,927,563,812,736/801,438,676.20
  6. Step 6: Final answer
    x = 1,202,158,014.30

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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.