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Finding the Fourth Proportional to 318,208,821.30, 477,313,231.95 and 318,208,821.30

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Solution

The fourth proportional to 318,208,821.30, 477,313,231.95 and 318,208,821.30 is: 477,313,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,208,821.30 : 477,313,231.95 = 318,208,821.30 : x
  2. Step 2: Convert to fraction form
    318,208,821.30/477,313,231.95 = 318,208,821.30/x
  3. Step 3: Cross multiply
    318,208,821.30x = 477,313,231.95 × 318,208,821.30
  4. Step 4: Simplify right side
    318,208,821.30x = 151,885,280,929,703,008
  5. Step 5: Solve for x
    x = 151,885,280,929,703,008/318,208,821.30
  6. Step 6: Final answer
    x = 477,313,231.95

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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.