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Finding the Fourth Proportional to 177,180,147.20, 265,770,220.80 and 177,180,147.20

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Solution

The fourth proportional to 177,180,147.20, 265,770,220.80 and 177,180,147.20 is: 265,770,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,180,147.20 : 265,770,220.80 = 177,180,147.20 : x
  2. Step 2: Convert to fraction form
    177,180,147.20/265,770,220.80 = 177,180,147.20/x
  3. Step 3: Cross multiply
    177,180,147.20x = 265,770,220.80 × 177,180,147.20
  4. Step 4: Simplify right side
    177,180,147.20x = 47,089,206,842,720,504
  5. Step 5: Solve for x
    x = 47,089,206,842,720,504/177,180,147.20
  6. Step 6: Final answer
    x = 265,770,220.80

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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.