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Finding the Fourth Proportional to 764,831,728.70, 1,147,247,593.05 and 764,831,728.70

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Solution

The fourth proportional to 764,831,728.70, 1,147,247,593.05 and 764,831,728.70 is: 1,147,247,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,831,728.70 : 1,147,247,593.05 = 764,831,728.70 : x
  2. Step 2: Convert to fraction form
    764,831,728.70/1,147,247,593.05 = 764,831,728.70/x
  3. Step 3: Cross multiply
    764,831,728.70x = 1,147,247,593.05 × 764,831,728.70
  4. Step 4: Simplify right side
    764,831,728.70x = 877,451,359,839,345,664
  5. Step 5: Solve for x
    x = 877,451,359,839,345,664/764,831,728.70
  6. Step 6: Final answer
    x = 1,147,247,593.05

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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.