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Finding the Fourth Proportional to 132,657,914,259.20, 198,986,871,388.80 and 132,657,914,259.20

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Solution

The fourth proportional to 132,657,914,259.20, 198,986,871,388.80 and 132,657,914,259.20 is: 198,986,871,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,657,914,259.20 : 198,986,871,388.80 = 132,657,914,259.20 : x
  2. Step 2: Convert to fraction form
    132,657,914,259.20/198,986,871,388.80 = 132,657,914,259.20/x
  3. Step 3: Cross multiply
    132,657,914,259.20x = 198,986,871,388.80 × 132,657,914,259.20
  4. Step 4: Simplify right side
    132,657,914,259.20x = 26,397,183,323,401,885,843,456
  5. Step 5: Solve for x
    x = 26,397,183,323,401,885,843,456/132,657,914,259.20
  6. Step 6: Final answer
    x = 198,986,871,388.80

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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.