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Finding the Fourth Proportional to 18,213,415,934.80, 27,320,123,902.20 and 18,213,415,934.80

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Solution

The fourth proportional to 18,213,415,934.80, 27,320,123,902.20 and 18,213,415,934.80 is: 27,320,123,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213,415,934.80 : 27,320,123,902.20 = 18,213,415,934.80 : x
  2. Step 2: Convert to fraction form
    18,213,415,934.80/27,320,123,902.20 = 18,213,415,934.80/x
  3. Step 3: Cross multiply
    18,213,415,934.80x = 27,320,123,902.20 × 18,213,415,934.80
  4. Step 4: Simplify right side
    18,213,415,934.80x = 497,592,780,021,039,824,896
  5. Step 5: Solve for x
    x = 497,592,780,021,039,824,896/18,213,415,934.80
  6. Step 6: Final answer
    x = 27,320,123,902.20

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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.