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Finding the Fourth Proportional to 524,394,016.40, 786,591,024.60 and 320,320,672.40

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Solution

The fourth proportional to 524,394,016.40, 786,591,024.60 and 320,320,672.40 is: 480,481,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,394,016.40 : 786,591,024.60 = 320,320,672.40 : x
  2. Step 2: Convert to fraction form
    524,394,016.40/786,591,024.60 = 320,320,672.40/x
  3. Step 3: Cross multiply
    524,394,016.40x = 786,591,024.60 × 320,320,672.40
  4. Step 4: Simplify right side
    524,394,016.40x = 251,961,365,903,676,928
  5. Step 5: Solve for x
    x = 251,961,365,903,676,928/524,394,016.40
  6. Step 6: Final answer
    x = 480,481,008.60

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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.