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Finding the Fourth Proportional to 156,044,364,044.20, 234,066,546,066.30 and 156,044,364,044.20

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Solution

The fourth proportional to 156,044,364,044.20, 234,066,546,066.30 and 156,044,364,044.20 is: 234,066,546,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,044,364,044.20 : 234,066,546,066.30 = 156,044,364,044.20 : x
  2. Step 2: Convert to fraction form
    156,044,364,044.20/234,066,546,066.30 = 156,044,364,044.20/x
  3. Step 3: Cross multiply
    156,044,364,044.20x = 234,066,546,066.30 × 156,044,364,044.20
  4. Step 4: Simplify right side
    156,044,364,044.20x = 36,524,765,324,938,227,744,768
  5. Step 5: Solve for x
    x = 36,524,765,324,938,227,744,768/156,044,364,044.20
  6. Step 6: Final answer
    x = 234,066,546,066.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.