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Finding the Fourth Proportional to 311,445,999.90, 467,168,999.85 and 311,445,999.90

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Solution

The fourth proportional to 311,445,999.90, 467,168,999.85 and 311,445,999.90 is: 467,168,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,445,999.90 : 467,168,999.85 = 311,445,999.90 : x
  2. Step 2: Convert to fraction form
    311,445,999.90/467,168,999.85 = 311,445,999.90/x
  3. Step 3: Cross multiply
    311,445,999.90x = 467,168,999.85 × 311,445,999.90
  4. Step 4: Simplify right side
    311,445,999.90x = 145,497,916,280,566,208
  5. Step 5: Solve for x
    x = 145,497,916,280,566,208/311,445,999.90
  6. Step 6: Final answer
    x = 467,168,999.85

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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.