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Finding the Fourth Proportional to 269,185,314.40, 403,777,971.60 and 269,185,314.40

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Solution

The fourth proportional to 269,185,314.40, 403,777,971.60 and 269,185,314.40 is: 403,777,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,185,314.40 : 403,777,971.60 = 269,185,314.40 : x
  2. Step 2: Convert to fraction form
    269,185,314.40/403,777,971.60 = 269,185,314.40/x
  3. Step 3: Cross multiply
    269,185,314.40x = 403,777,971.60 × 269,185,314.40
  4. Step 4: Simplify right side
    269,185,314.40x = 108,691,100,232,940,272
  5. Step 5: Solve for x
    x = 108,691,100,232,940,272/269,185,314.40
  6. Step 6: Final answer
    x = 403,777,971.60

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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.