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Finding the Fourth Proportional to 756,820,939.20, 1,135,231,408.80 and 756,820,939.20

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Solution

The fourth proportional to 756,820,939.20, 1,135,231,408.80 and 756,820,939.20 is: 1,135,231,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,820,939.20 : 1,135,231,408.80 = 756,820,939.20 : x
  2. Step 2: Convert to fraction form
    756,820,939.20/1,135,231,408.80 = 756,820,939.20/x
  3. Step 3: Cross multiply
    756,820,939.20x = 1,135,231,408.80 × 756,820,939.20
  4. Step 4: Simplify right side
    756,820,939.20x = 859,166,901,017,355,136
  5. Step 5: Solve for x
    x = 859,166,901,017,355,136/756,820,939.20
  6. Step 6: Final answer
    x = 1,135,231,408.80

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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.