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Finding the Fourth Proportional to 121,747,968,000.80, 182,621,952,001.20 and 121,747,968,000.80

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Solution

The fourth proportional to 121,747,968,000.80, 182,621,952,001.20 and 121,747,968,000.80 is: 182,621,952,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,747,968,000.80 : 182,621,952,001.20 = 121,747,968,000.80 : x
  2. Step 2: Convert to fraction form
    121,747,968,000.80/182,621,952,001.20 = 121,747,968,000.80/x
  3. Step 3: Cross multiply
    121,747,968,000.80x = 182,621,952,001.20 × 121,747,968,000.80
  4. Step 4: Simplify right side
    121,747,968,000.80x = 22,233,851,568,485,732,188,160
  5. Step 5: Solve for x
    x = 22,233,851,568,485,732,188,160/121,747,968,000.80
  6. Step 6: Final answer
    x = 182,621,952,001.20

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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.