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Finding the Fourth Proportional to 107,313,404.70, 160,970,107.05 and 107,313,404.70

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Solution

The fourth proportional to 107,313,404.70, 160,970,107.05 and 107,313,404.70 is: 160,970,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,313,404.70 : 160,970,107.05 = 107,313,404.70 : x
  2. Step 2: Convert to fraction form
    107,313,404.70/160,970,107.05 = 107,313,404.70/x
  3. Step 3: Cross multiply
    107,313,404.70x = 160,970,107.05 × 107,313,404.70
  4. Step 4: Simplify right side
    107,313,404.70x = 17,274,250,242,458,974
  5. Step 5: Solve for x
    x = 17,274,250,242,458,974/107,313,404.70
  6. Step 6: Final answer
    x = 160,970,107.05

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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.