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Finding the Fourth Proportional to 397,248,468.48, 595,958,469.60 and 120,921,290.64

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Solution

The fourth proportional to 397,248,468.48, 595,958,469.60 and 120,921,290.64 is: 181,408,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,248,468.48 : 595,958,469.60 = 120,921,290.64 : x
  2. Step 2: Convert to fraction form
    397,248,468.48/595,958,469.60 = 120,921,290.64/x
  3. Step 3: Cross multiply
    397,248,468.48x = 595,958,469.60 × 120,921,290.64
  4. Step 4: Simplify right side
    397,248,468.48x = 72,064,067,311,871,200
  5. Step 5: Solve for x
    x = 72,064,067,311,871,200/397,248,468.48
  6. Step 6: Final answer
    x = 181,408,043.15

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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.