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Finding the Fourth Proportional to 209,952,287.70, 314,928,431.55 and 119,253,023.70

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Solution

The fourth proportional to 209,952,287.70, 314,928,431.55 and 119,253,023.70 is: 178,879,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,287.70 : 314,928,431.55 = 119,253,023.70 : x
  2. Step 2: Convert to fraction form
    209,952,287.70/314,928,431.55 = 119,253,023.70/x
  3. Step 3: Cross multiply
    209,952,287.70x = 314,928,431.55 × 119,253,023.70
  4. Step 4: Simplify right side
    209,952,287.70x = 37,556,167,711,435,984
  5. Step 5: Solve for x
    x = 37,556,167,711,435,984/209,952,287.70
  6. Step 6: Final answer
    x = 178,879,535.55

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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.