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Finding the Fourth Proportional to 73,039,944,753.11, 109,559,917,129.67 and 73,039,944,753.11

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Solution

The fourth proportional to 73,039,944,753.11, 109,559,917,129.67 and 73,039,944,753.11 is: 109,559,917,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,039,944,753.11 : 109,559,917,129.67 = 73,039,944,753.11 : x
  2. Step 2: Convert to fraction form
    73,039,944,753.11/109,559,917,129.67 = 73,039,944,753.11/x
  3. Step 3: Cross multiply
    73,039,944,753.11x = 109,559,917,129.67 × 73,039,944,753.11
  4. Step 4: Simplify right side
    73,039,944,753.11x = 8,002,250,294,306,625,552,384
  5. Step 5: Solve for x
    x = 8,002,250,294,306,625,552,384/73,039,944,753.11
  6. Step 6: Final answer
    x = 109,559,917,129.67

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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.