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Finding the Fourth Proportional to 232,715,542,451.10, 349,073,313,676.65 and 232,715,542,451.10

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Solution

The fourth proportional to 232,715,542,451.10, 349,073,313,676.65 and 232,715,542,451.10 is: 349,073,313,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,715,542,451.10 : 349,073,313,676.65 = 232,715,542,451.10 : x
  2. Step 2: Convert to fraction form
    232,715,542,451.10/349,073,313,676.65 = 232,715,542,451.10/x
  3. Step 3: Cross multiply
    232,715,542,451.10x = 349,073,313,676.65 × 232,715,542,451.10
  4. Step 4: Simplify right side
    232,715,542,451.10x = 81,234,785,547,464,604,647,424
  5. Step 5: Solve for x
    x = 81,234,785,547,464,604,647,424/232,715,542,451.10
  6. Step 6: Final answer
    x = 349,073,313,676.65

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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.