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Finding the Fourth Proportional to 764,831,727.20, 1,147,247,590.80 and 764,831,727.20

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Solution

The fourth proportional to 764,831,727.20, 1,147,247,590.80 and 764,831,727.20 is: 1,147,247,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,831,727.20 : 1,147,247,590.80 = 764,831,727.20 : x
  2. Step 2: Convert to fraction form
    764,831,727.20/1,147,247,590.80 = 764,831,727.20/x
  3. Step 3: Cross multiply
    764,831,727.20x = 1,147,247,590.80 × 764,831,727.20
  4. Step 4: Simplify right side
    764,831,727.20x = 877,451,356,397,602,816
  5. Step 5: Solve for x
    x = 877,451,356,397,602,816/764,831,727.20
  6. Step 6: Final answer
    x = 1,147,247,590.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.