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Finding the Fourth Proportional to 444,872,498.80, 667,308,748.20 and 414,639,410.80

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Solution

The fourth proportional to 444,872,498.80, 667,308,748.20 and 414,639,410.80 is: 621,959,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,872,498.80 : 667,308,748.20 = 414,639,410.80 : x
  2. Step 2: Convert to fraction form
    444,872,498.80/667,308,748.20 = 414,639,410.80/x
  3. Step 3: Cross multiply
    444,872,498.80x = 667,308,748.20 × 414,639,410.80
  4. Step 4: Simplify right side
    444,872,498.80x = 276,692,506,175,333,600
  5. Step 5: Solve for x
    x = 276,692,506,175,333,600/444,872,498.80
  6. Step 6: Final answer
    x = 621,959,116.20

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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.