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Finding the Fourth Proportional to 318,320,003.80, 477,480,005.70 and 318,320,003.80

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Solution

The fourth proportional to 318,320,003.80, 477,480,005.70 and 318,320,003.80 is: 477,480,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,320,003.80 : 477,480,005.70 = 318,320,003.80 : x
  2. Step 2: Convert to fraction form
    318,320,003.80/477,480,005.70 = 318,320,003.80/x
  3. Step 3: Cross multiply
    318,320,003.80x = 477,480,005.70 × 318,320,003.80
  4. Step 4: Simplify right side
    318,320,003.80x = 151,991,437,228,848,032
  5. Step 5: Solve for x
    x = 151,991,437,228,848,032/318,320,003.80
  6. Step 6: Final answer
    x = 477,480,005.70

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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.