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Finding the Fourth Proportional to 171,625,563.90, 257,438,345.85 and 171,625,563.90

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Solution

The fourth proportional to 171,625,563.90, 257,438,345.85 and 171,625,563.90 is: 257,438,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625,563.90 : 257,438,345.85 = 171,625,563.90 : x
  2. Step 2: Convert to fraction form
    171,625,563.90/257,438,345.85 = 171,625,563.90/x
  3. Step 3: Cross multiply
    171,625,563.90x = 257,438,345.85 × 171,625,563.90
  4. Step 4: Simplify right side
    171,625,563.90x = 44,183,001,275,989,472
  5. Step 5: Solve for x
    x = 44,183,001,275,989,472/171,625,563.90
  6. Step 6: Final answer
    x = 257,438,345.85

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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.