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Finding the Fourth Proportional to 800,809,781.40, 1,201,214,672.10 and 644,941,416.60

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Solution

The fourth proportional to 800,809,781.40, 1,201,214,672.10 and 644,941,416.60 is: 967,412,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,809,781.40 : 1,201,214,672.10 = 644,941,416.60 : x
  2. Step 2: Convert to fraction form
    800,809,781.40/1,201,214,672.10 = 644,941,416.60/x
  3. Step 3: Cross multiply
    800,809,781.40x = 1,201,214,672.10 × 644,941,416.60
  4. Step 4: Simplify right side
    800,809,781.40x = 774,713,092,264,878,464
  5. Step 5: Solve for x
    x = 774,713,092,264,878,464/800,809,781.40
  6. Step 6: Final answer
    x = 967,412,124.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.