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Finding the Fourth Proportional to 129,385,642,504.70, 194,078,463,757.05 and 129,385,642,504.70

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Solution

The fourth proportional to 129,385,642,504.70, 194,078,463,757.05 and 129,385,642,504.70 is: 194,078,463,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,385,642,504.70 : 194,078,463,757.05 = 129,385,642,504.70 : x
  2. Step 2: Convert to fraction form
    129,385,642,504.70/194,078,463,757.05 = 129,385,642,504.70/x
  3. Step 3: Cross multiply
    129,385,642,504.70x = 194,078,463,757.05 × 129,385,642,504.70
  4. Step 4: Simplify right side
    129,385,642,504.70x = 25,110,966,729,531,046,494,208
  5. Step 5: Solve for x
    x = 25,110,966,729,531,046,494,208/129,385,642,504.70
  6. Step 6: Final answer
    x = 194,078,463,757.05

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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.