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Finding the Fourth Proportional to 295,023,662.76, 407,121,978.60 and 162,861,820.68

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Solution

The fourth proportional to 295,023,662.76, 407,121,978.60 and 162,861,820.68 is: 224,743,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,023,662.76 : 407,121,978.60 = 162,861,820.68 : x
  2. Step 2: Convert to fraction form
    295,023,662.76/407,121,978.60 = 162,861,820.68/x
  3. Step 3: Cross multiply
    295,023,662.76x = 407,121,978.60 × 162,861,820.68
  4. Step 4: Simplify right side
    295,023,662.76x = 66,304,626,673,640,008
  5. Step 5: Solve for x
    x = 66,304,626,673,640,008/295,023,662.76
  6. Step 6: Final answer
    x = 224,743,419.06

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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.