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Finding the Fourth Proportional to 134,561,375,110.80, 201,842,062,666.20 and 134,561,375,110.80

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Solution

The fourth proportional to 134,561,375,110.80, 201,842,062,666.20 and 134,561,375,110.80 is: 201,842,062,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,561,375,110.80 : 201,842,062,666.20 = 134,561,375,110.80 : x
  2. Step 2: Convert to fraction form
    134,561,375,110.80/201,842,062,666.20 = 134,561,375,110.80/x
  3. Step 3: Cross multiply
    134,561,375,110.80x = 201,842,062,666.20 × 134,561,375,110.80
  4. Step 4: Simplify right side
    134,561,375,110.80x = 27,160,145,507,564,138,790,912
  5. Step 5: Solve for x
    x = 27,160,145,507,564,138,790,912/134,561,375,110.80
  6. Step 6: Final answer
    x = 201,842,062,666.20

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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.