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Finding the Fourth Proportional to 404,600,600.80, 605,109,310.80 and 340,103,346.40

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Solution

The fourth proportional to 404,600,600.80, 605,109,310.80 and 340,103,346.40 is: 508,649,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,600,600.80 : 605,109,310.80 = 340,103,346.40 : x
  2. Step 2: Convert to fraction form
    404,600,600.80/605,109,310.80 = 340,103,346.40/x
  3. Step 3: Cross multiply
    404,600,600.80x = 605,109,310.80 × 340,103,346.40
  4. Step 4: Simplify right side
    404,600,600.80x = 205,799,701,540,877,632
  5. Step 5: Solve for x
    x = 205,799,701,540,877,632/404,600,600.80
  6. Step 6: Final answer
    x = 508,649,026.06

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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.