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Finding the Fourth Proportional to 75,691,098,045.45, 113,536,647,068.17 and 75,691,098,045.45

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Solution

The fourth proportional to 75,691,098,045.45, 113,536,647,068.17 and 75,691,098,045.45 is: 113,536,647,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691,098,045.45 : 113,536,647,068.17 = 75,691,098,045.45 : x
  2. Step 2: Convert to fraction form
    75,691,098,045.45/113,536,647,068.17 = 75,691,098,045.45/x
  3. Step 3: Cross multiply
    75,691,098,045.45x = 113,536,647,068.17 × 75,691,098,045.45
  4. Step 4: Simplify right side
    75,691,098,045.45x = 8,593,713,484,988,508,274,688
  5. Step 5: Solve for x
    x = 8,593,713,484,988,508,274,688/75,691,098,045.45
  6. Step 6: Final answer
    x = 113,536,647,068.17

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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.