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Finding the Fourth Proportional to 298,978,863.70, 448,468,295.55 and 298,978,863.70

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Solution

The fourth proportional to 298,978,863.70, 448,468,295.55 and 298,978,863.70 is: 448,468,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978,863.70 : 448,468,295.55 = 298,978,863.70 : x
  2. Step 2: Convert to fraction form
    298,978,863.70/448,468,295.55 = 298,978,863.70/x
  3. Step 3: Cross multiply
    298,978,863.70x = 448,468,295.55 × 298,978,863.70
  4. Step 4: Simplify right side
    298,978,863.70x = 134,082,541,409,014,768
  5. Step 5: Solve for x
    x = 134,082,541,409,014,768/298,978,863.70
  6. Step 6: Final answer
    x = 448,468,295.55

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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.