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Finding the Fourth Proportional to 284,879,751.70, 427,319,627.55 and 281,856,442.90

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Solution

The fourth proportional to 284,879,751.70, 427,319,627.55 and 281,856,442.90 is: 422,784,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,879,751.70 : 427,319,627.55 = 281,856,442.90 : x
  2. Step 2: Convert to fraction form
    284,879,751.70/427,319,627.55 = 281,856,442.90/x
  3. Step 3: Cross multiply
    284,879,751.70x = 427,319,627.55 × 281,856,442.90
  4. Step 4: Simplify right side
    284,879,751.70x = 120,442,790,202,595,840
  5. Step 5: Solve for x
    x = 120,442,790,202,595,840/284,879,751.70
  6. Step 6: Final answer
    x = 422,784,664.35

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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.