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Finding the Fourth Proportional to 113,983,500,906.10, 159,250,752,189.50 and 113,983,500,906.10

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Solution

The fourth proportional to 113,983,500,906.10, 159,250,752,189.50 and 113,983,500,906.10 is: 159,250,752,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,983,500,906.10 : 159,250,752,189.50 = 113,983,500,906.10 : x
  2. Step 2: Convert to fraction form
    113,983,500,906.10/159,250,752,189.50 = 113,983,500,906.10/x
  3. Step 3: Cross multiply
    113,983,500,906.10x = 159,250,752,189.50 × 113,983,500,906.10
  4. Step 4: Simplify right side
    113,983,500,906.10x = 18,151,958,256,488,980,414,464
  5. Step 5: Solve for x
    x = 18,151,958,256,488,980,414,464/113,983,500,906.10
  6. Step 6: Final answer
    x = 159,250,752,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.