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Finding the Fourth Proportional to 81,395,779,892.80, 122,093,669,839.20 and 81,395,779,892.80

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Solution

The fourth proportional to 81,395,779,892.80, 122,093,669,839.20 and 81,395,779,892.80 is: 122,093,669,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,395,779,892.80 : 122,093,669,839.20 = 81,395,779,892.80 : x
  2. Step 2: Convert to fraction form
    81,395,779,892.80/122,093,669,839.20 = 81,395,779,892.80/x
  3. Step 3: Cross multiply
    81,395,779,892.80x = 122,093,669,839.20 × 81,395,779,892.80
  4. Step 4: Simplify right side
    81,395,779,892.80x = 9,937,909,476,535,717,330,944
  5. Step 5: Solve for x
    x = 9,937,909,476,535,717,330,944/81,395,779,892.80
  6. Step 6: Final answer
    x = 122,093,669,839.20

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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.