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Finding the Fourth Proportional to 103,016,858,491.20, 154,525,287,736.80 and 103,016,858,491.20

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Solution

The fourth proportional to 103,016,858,491.20, 154,525,287,736.80 and 103,016,858,491.20 is: 154,525,287,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,016,858,491.20 : 154,525,287,736.80 = 103,016,858,491.20 : x
  2. Step 2: Convert to fraction form
    103,016,858,491.20/154,525,287,736.80 = 103,016,858,491.20/x
  3. Step 3: Cross multiply
    103,016,858,491.20x = 154,525,287,736.80 × 103,016,858,491.20
  4. Step 4: Simplify right side
    103,016,858,491.20x = 15,918,709,700,093,886,332,928
  5. Step 5: Solve for x
    x = 15,918,709,700,093,886,332,928/103,016,858,491.20
  6. Step 6: Final answer
    x = 154,525,287,736.80

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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.