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Finding the Fourth Proportional to 299,560,470.40, 448,668,859.20 and 299,560,470.40

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Solution

The fourth proportional to 299,560,470.40, 448,668,859.20 and 299,560,470.40 is: 448,668,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560,470.40 : 448,668,859.20 = 299,560,470.40 : x
  2. Step 2: Convert to fraction form
    299,560,470.40/448,668,859.20 = 299,560,470.40/x
  3. Step 3: Cross multiply
    299,560,470.40x = 448,668,859.20 × 299,560,470.40
  4. Step 4: Simplify right side
    299,560,470.40x = 134,403,454,515,783,360
  5. Step 5: Solve for x
    x = 134,403,454,515,783,360/299,560,470.40
  6. Step 6: Final answer
    x = 448,668,859.20

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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.