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Finding the Fourth Proportional to 726,606,736.20, 1,089,910,104.30 and 726,606,736.20

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Solution

The fourth proportional to 726,606,736.20, 1,089,910,104.30 and 726,606,736.20 is: 1,089,910,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,606,736.20 : 1,089,910,104.30 = 726,606,736.20 : x
  2. Step 2: Convert to fraction form
    726,606,736.20/1,089,910,104.30 = 726,606,736.20/x
  3. Step 3: Cross multiply
    726,606,736.20x = 1,089,910,104.30 × 726,606,736.20
  4. Step 4: Simplify right side
    726,606,736.20x = 791,936,023,636,824,576
  5. Step 5: Solve for x
    x = 791,936,023,636,824,576/726,606,736.20
  6. Step 6: Final answer
    x = 1,089,910,104.30

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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.