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Finding the Fourth Proportional to 171,587,764.20, 257,381,646.30 and 171,587,764.20

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Solution

The fourth proportional to 171,587,764.20, 257,381,646.30 and 171,587,764.20 is: 257,381,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,587,764.20 : 257,381,646.30 = 171,587,764.20 : x
  2. Step 2: Convert to fraction form
    171,587,764.20/257,381,646.30 = 171,587,764.20/x
  3. Step 3: Cross multiply
    171,587,764.20x = 257,381,646.30 × 171,587,764.20
  4. Step 4: Simplify right side
    171,587,764.20x = 44,163,541,234,732,200
  5. Step 5: Solve for x
    x = 44,163,541,234,732,200/171,587,764.20
  6. Step 6: Final answer
    x = 257,381,646.30

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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.