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Finding the Fourth Proportional to 104,958,144,014.73, 157,437,216,022.08 and 104,958,144,014.73

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Solution

The fourth proportional to 104,958,144,014.73, 157,437,216,022.08 and 104,958,144,014.73 is: 157,437,216,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958,144,014.73 : 157,437,216,022.08 = 104,958,144,014.73 : x
  2. Step 2: Convert to fraction form
    104,958,144,014.73/157,437,216,022.08 = 104,958,144,014.73/x
  3. Step 3: Cross multiply
    104,958,144,014.73x = 157,437,216,022.08 × 104,958,144,014.73
  4. Step 4: Simplify right side
    104,958,144,014.73x = 16,524,317,992,523,627,757,568
  5. Step 5: Solve for x
    x = 16,524,317,992,523,627,757,568/104,958,144,014.73
  6. Step 6: Final answer
    x = 157,437,216,022.08

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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.