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Finding the Fourth Proportional to 445,879,382,662.40, 668,819,073,993.60 and 445,879,382,662.40

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Solution

The fourth proportional to 445,879,382,662.40, 668,819,073,993.60 and 445,879,382,662.40 is: 668,819,073,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,879,382,662.40 : 668,819,073,993.60 = 445,879,382,662.40 : x
  2. Step 2: Convert to fraction form
    445,879,382,662.40/668,819,073,993.60 = 445,879,382,662.40/x
  3. Step 3: Cross multiply
    445,879,382,662.40x = 668,819,073,993.60 × 445,879,382,662.40
  4. Step 4: Simplify right side
    445,879,382,662.40x = 298,212,635,825,104,398,319,616
  5. Step 5: Solve for x
    x = 298,212,635,825,104,398,319,616/445,879,382,662.40
  6. Step 6: Final answer
    x = 668,819,073,993.60

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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.