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Finding the Fourth Proportional to 764,027,998.80, 1,146,041,998.26 and 764,027,998.80

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Solution

The fourth proportional to 764,027,998.80, 1,146,041,998.26 and 764,027,998.80 is: 1,146,041,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,027,998.80 : 1,146,041,998.26 = 764,027,998.80 : x
  2. Step 2: Convert to fraction form
    764,027,998.80/1,146,041,998.26 = 764,027,998.80/x
  3. Step 3: Cross multiply
    764,027,998.80x = 1,146,041,998.26 × 764,027,998.80
  4. Step 4: Simplify right side
    764,027,998.80x = 875,608,174,471,340,800
  5. Step 5: Solve for x
    x = 875,608,174,471,340,800/764,027,998.80
  6. Step 6: Final answer
    x = 1,146,041,998.26

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1.5x scale

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.