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Finding the Fourth Proportional to 171,770,909.40, 239,969,089.80 and 171,770,909.40

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Solution

The fourth proportional to 171,770,909.40, 239,969,089.80 and 171,770,909.40 is: 239,969,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,770,909.40 : 239,969,089.80 = 171,770,909.40 : x
  2. Step 2: Convert to fraction form
    171,770,909.40/239,969,089.80 = 171,770,909.40/x
  3. Step 3: Cross multiply
    171,770,909.40x = 239,969,089.80 × 171,770,909.40
  4. Step 4: Simplify right side
    171,770,909.40x = 41,219,708,782,836,264
  5. Step 5: Solve for x
    x = 41,219,708,782,836,264/171,770,909.40
  6. Step 6: Final answer
    x = 239,969,089.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.