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Finding the Fourth Proportional to 764,005,505.80, 1,146,008,258.70 and 764,005,505.80

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Solution

The fourth proportional to 764,005,505.80, 1,146,008,258.70 and 764,005,505.80 is: 1,146,008,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,005,505.80 : 1,146,008,258.70 = 764,005,505.80 : x
  2. Step 2: Convert to fraction form
    764,005,505.80/1,146,008,258.70 = 764,005,505.80/x
  3. Step 3: Cross multiply
    764,005,505.80x = 1,146,008,258.70 × 764,005,505.80
  4. Step 4: Simplify right side
    764,005,505.80x = 875,556,619,339,070,720
  5. Step 5: Solve for x
    x = 875,556,619,339,070,720/764,005,505.80
  6. Step 6: Final answer
    x = 1,146,008,258.70

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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.