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Finding the Fourth Proportional to 451,616,441.40, 677,424,662.10 and 451,616,441.40

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Solution

The fourth proportional to 451,616,441.40, 677,424,662.10 and 451,616,441.40 is: 677,424,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,616,441.40 : 677,424,662.10 = 451,616,441.40 : x
  2. Step 2: Convert to fraction form
    451,616,441.40/677,424,662.10 = 451,616,441.40/x
  3. Step 3: Cross multiply
    451,616,441.40x = 677,424,662.10 × 451,616,441.40
  4. Step 4: Simplify right side
    451,616,441.40x = 305,936,115,214,199,424
  5. Step 5: Solve for x
    x = 305,936,115,214,199,424/451,616,441.40
  6. Step 6: Final answer
    x = 677,424,662.10

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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.