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Finding the Fourth Proportional to 299,078,829.60, 419,315,023.20 and 299,078,829.60

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Solution

The fourth proportional to 299,078,829.60, 419,315,023.20 and 299,078,829.60 is: 419,315,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078,829.60 : 419,315,023.20 = 299,078,829.60 : x
  2. Step 2: Convert to fraction form
    299,078,829.60/419,315,023.20 = 299,078,829.60/x
  3. Step 3: Cross multiply
    299,078,829.60x = 419,315,023.20 × 299,078,829.60
  4. Step 4: Simplify right side
    299,078,829.60x = 125,408,246,372,352,848
  5. Step 5: Solve for x
    x = 125,408,246,372,352,848/299,078,829.60
  6. Step 6: Final answer
    x = 419,315,023.20

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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.