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Finding the Fourth Proportional to 189,915,629.20, 284,873,443.80 and 177,175,430.80

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Solution

The fourth proportional to 189,915,629.20, 284,873,443.80 and 177,175,430.80 is: 265,763,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,915,629.20 : 284,873,443.80 = 177,175,430.80 : x
  2. Step 2: Convert to fraction form
    189,915,629.20/284,873,443.80 = 177,175,430.80/x
  3. Step 3: Cross multiply
    189,915,629.20x = 284,873,443.80 × 177,175,430.80
  4. Step 4: Simplify right side
    189,915,629.20x = 50,472,575,128,744,592
  5. Step 5: Solve for x
    x = 50,472,575,128,744,592/189,915,629.20
  6. Step 6: Final answer
    x = 265,763,146.20

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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.