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Finding the Fourth Proportional to 489,646,076.40, 734,469,114.60 and 378,681,195.60

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Solution

The fourth proportional to 489,646,076.40, 734,469,114.60 and 378,681,195.60 is: 568,021,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,646,076.40 : 734,469,114.60 = 378,681,195.60 : x
  2. Step 2: Convert to fraction form
    489,646,076.40/734,469,114.60 = 378,681,195.60/x
  3. Step 3: Cross multiply
    489,646,076.40x = 734,469,114.60 × 378,681,195.60
  4. Step 4: Simplify right side
    489,646,076.40x = 278,129,642,448,001,440
  5. Step 5: Solve for x
    x = 278,129,642,448,001,440/489,646,076.40
  6. Step 6: Final answer
    x = 568,021,793.40

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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.