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Finding the Fourth Proportional to 107,183,616,004.80, 160,775,424,007.20 and 107,183,616,004.80

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Solution

The fourth proportional to 107,183,616,004.80, 160,775,424,007.20 and 107,183,616,004.80 is: 160,775,424,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,183,616,004.80 : 160,775,424,007.20 = 107,183,616,004.80 : x
  2. Step 2: Convert to fraction form
    107,183,616,004.80/160,775,424,007.20 = 107,183,616,004.80/x
  3. Step 3: Cross multiply
    107,183,616,004.80x = 160,775,424,007.20 × 107,183,616,004.80
  4. Step 4: Simplify right side
    107,183,616,004.80x = 17,232,491,309,796,629,151,744
  5. Step 5: Solve for x
    x = 17,232,491,309,796,629,151,744/107,183,616,004.80
  6. Step 6: Final answer
    x = 160,775,424,007.20

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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.