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Finding the Fourth Proportional to 403,545,344.40, 605,318,016.60 and 199,472,000.40

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Solution

The fourth proportional to 403,545,344.40, 605,318,016.60 and 199,472,000.40 is: 299,208,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,545,344.40 : 605,318,016.60 = 199,472,000.40 : x
  2. Step 2: Convert to fraction form
    403,545,344.40/605,318,016.60 = 199,472,000.40/x
  3. Step 3: Cross multiply
    403,545,344.40x = 605,318,016.60 × 199,472,000.40
  4. Step 4: Simplify right side
    403,545,344.40x = 120,743,995,649,362,416
  5. Step 5: Solve for x
    x = 120,743,995,649,362,416/403,545,344.40
  6. Step 6: Final answer
    x = 299,208,000.60

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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.