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Finding the Fourth Proportional to 298,982,107.80, 417,554,584.20 and 298,982,107.80

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Solution

The fourth proportional to 298,982,107.80, 417,554,584.20 and 298,982,107.80 is: 417,554,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982,107.80 : 417,554,584.20 = 298,982,107.80 : x
  2. Step 2: Convert to fraction form
    298,982,107.80/417,554,584.20 = 298,982,107.80/x
  3. Step 3: Cross multiply
    298,982,107.80x = 417,554,584.20 × 298,982,107.80
  4. Step 4: Simplify right side
    298,982,107.80x = 124,841,349,705,668,576
  5. Step 5: Solve for x
    x = 124,841,349,705,668,576/298,982,107.80
  6. Step 6: Final answer
    x = 417,554,584.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.