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Finding the Fourth Proportional to 231,707,660.80, 347,262,892.80 and 177,586,700.80

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Solution

The fourth proportional to 231,707,660.80, 347,262,892.80 and 177,586,700.80 is: 266,151,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,707,660.80 : 347,262,892.80 = 177,586,700.80 : x
  2. Step 2: Convert to fraction form
    231,707,660.80/347,262,892.80 = 177,586,700.80/x
  3. Step 3: Cross multiply
    231,707,660.80x = 347,262,892.80 × 177,586,700.80
  4. Step 4: Simplify right side
    231,707,660.80x = 61,669,271,442,616,080
  5. Step 5: Solve for x
    x = 61,669,271,442,616,080/231,707,660.80
  6. Step 6: Final answer
    x = 266,151,197.72

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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.