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Finding the Fourth Proportional to 442,563,324.30, 663,844,986.45 and 442,563,324.30

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Solution

The fourth proportional to 442,563,324.30, 663,844,986.45 and 442,563,324.30 is: 663,844,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,563,324.30 : 663,844,986.45 = 442,563,324.30 : x
  2. Step 2: Convert to fraction form
    442,563,324.30/663,844,986.45 = 442,563,324.30/x
  3. Step 3: Cross multiply
    442,563,324.30x = 663,844,986.45 × 442,563,324.30
  4. Step 4: Simplify right side
    442,563,324.30x = 293,793,444,023,200,512
  5. Step 5: Solve for x
    x = 293,793,444,023,200,512/442,563,324.30
  6. Step 6: Final answer
    x = 663,844,986.45

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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.