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Finding the Fourth Proportional to 3,188,103,624,066, 4,782,155,436,098.80 and 3,188,103,624,066

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Solution

The fourth proportional to 3,188,103,624,066, 4,782,155,436,098.80 and 3,188,103,624,066 is: 4,782,155,436,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,066 : 4,782,155,436,098.80 = 3,188,103,624,066 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,066/4,782,155,436,098.80 = 3,188,103,624,066/x
  3. Step 3: Cross multiply
    3,188,103,624,066x = 4,782,155,436,098.80 × 3,188,103,624,066
  4. Step 4: Simplify right side
    3,188,103,624,066x = 15,246,007,076,673,507,320,397,824
  5. Step 5: Solve for x
    x = 15,246,007,076,673,507,320,397,824/3,188,103,624,066
  6. Step 6: Final answer
    x = 4,782,155,436,098.80

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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.