Home / 380,105,814.40-524,546,023.92-206,265,558.40

Finding the Fourth Proportional to 380,105,814.40, 524,546,023.92 and 206,265,558.40

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Solution

The fourth proportional to 380,105,814.40, 524,546,023.92 and 206,265,558.40 is: 284,646,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,105,814.40 : 524,546,023.92 = 206,265,558.40 : x
  2. Step 2: Convert to fraction form
    380,105,814.40/524,546,023.92 = 206,265,558.40/x
  3. Step 3: Cross multiply
    380,105,814.40x = 524,546,023.92 × 206,265,558.40
  4. Step 4: Simplify right side
    380,105,814.40x = 108,195,778,530,358,560
  5. Step 5: Solve for x
    x = 108,195,778,530,358,560/380,105,814.40
  6. Step 6: Final answer
    x = 284,646,470.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.