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Finding the Fourth Proportional to 598,770,743.40, 898,286,751.90 and 340,109,879.40

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Solution

The fourth proportional to 598,770,743.40, 898,286,751.90 and 340,109,879.40 is: 510,239,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,770,743.40 : 898,286,751.90 = 340,109,879.40 : x
  2. Step 2: Convert to fraction form
    598,770,743.40/898,286,751.90 = 340,109,879.40/x
  3. Step 3: Cross multiply
    598,770,743.40x = 898,286,751.90 × 340,109,879.40
  4. Step 4: Simplify right side
    598,770,743.40x = 305,516,198,855,326,720
  5. Step 5: Solve for x
    x = 305,516,198,855,326,720/598,770,743.40
  6. Step 6: Final answer
    x = 510,239,022.57

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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.