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Finding the Fourth Proportional to 274,211,046.96, 378,411,978.32 and 148,763,242.60

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Solution

The fourth proportional to 274,211,046.96, 378,411,978.32 and 148,763,242.60 is: 205,293,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,211,046.96 : 378,411,978.32 = 148,763,242.60 : x
  2. Step 2: Convert to fraction form
    274,211,046.96/378,411,978.32 = 148,763,242.60/x
  3. Step 3: Cross multiply
    274,211,046.96x = 378,411,978.32 × 148,763,242.60
  4. Step 4: Simplify right side
    274,211,046.96x = 56,293,792,933,564,096
  5. Step 5: Solve for x
    x = 56,293,792,933,564,096/274,211,046.96
  6. Step 6: Final answer
    x = 205,293,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.