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Finding the Fourth Proportional to 264,059,385.80, 396,089,078.70 and 252,863,695.40

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Solution

The fourth proportional to 264,059,385.80, 396,089,078.70 and 252,863,695.40 is: 379,295,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,059,385.80 : 396,089,078.70 = 252,863,695.40 : x
  2. Step 2: Convert to fraction form
    264,059,385.80/396,089,078.70 = 252,863,695.40/x
  3. Step 3: Cross multiply
    264,059,385.80x = 396,089,078.70 × 252,863,695.40
  4. Step 4: Simplify right side
    264,059,385.80x = 100,156,548,147,663,424
  5. Step 5: Solve for x
    x = 100,156,548,147,663,424/264,059,385.80
  6. Step 6: Final answer
    x = 379,295,543.10

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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.