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Finding the Fourth Proportional to 299,229,321.60, 447,993,676.80 and 265,217,097.60

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Solution

The fourth proportional to 299,229,321.60, 447,993,676.80 and 265,217,097.60 is: 397,071,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,229,321.60 : 447,993,676.80 = 265,217,097.60 : x
  2. Step 2: Convert to fraction form
    299,229,321.60/447,993,676.80 = 265,217,097.60/x
  3. Step 3: Cross multiply
    299,229,321.60x = 447,993,676.80 × 265,217,097.60
  4. Step 4: Simplify right side
    299,229,321.60x = 118,815,582,704,048,464
  5. Step 5: Solve for x
    x = 118,815,582,704,048,464/299,229,321.60
  6. Step 6: Final answer
    x = 397,071,991.70

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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.