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Finding the Fourth Proportional to 764,073,116.60, 1,146,109,674.90 and 764,073,116.60

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Solution

The fourth proportional to 764,073,116.60, 1,146,109,674.90 and 764,073,116.60 is: 1,146,109,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,073,116.60 : 1,146,109,674.90 = 764,073,116.60 : x
  2. Step 2: Convert to fraction form
    764,073,116.60/1,146,109,674.90 = 764,073,116.60/x
  3. Step 3: Cross multiply
    764,073,116.60x = 1,146,109,674.90 × 764,073,116.60
  4. Step 4: Simplify right side
    764,073,116.60x = 875,711,591,266,255,872
  5. Step 5: Solve for x
    x = 875,711,591,266,255,872/764,073,116.60
  6. Step 6: Final answer
    x = 1,146,109,674.90

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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.