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Finding the Fourth Proportional to 721,468,270.20, 1,082,202,405.30 and 721,468,270.20

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Solution

The fourth proportional to 721,468,270.20, 1,082,202,405.30 and 721,468,270.20 is: 1,082,202,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,468,270.20 : 1,082,202,405.30 = 721,468,270.20 : x
  2. Step 2: Convert to fraction form
    721,468,270.20/1,082,202,405.30 = 721,468,270.20/x
  3. Step 3: Cross multiply
    721,468,270.20x = 1,082,202,405.30 × 721,468,270.20
  4. Step 4: Simplify right side
    721,468,270.20x = 780,774,697,358,070,272
  5. Step 5: Solve for x
    x = 780,774,697,358,070,272/721,468,270.20
  6. Step 6: Final answer
    x = 1,082,202,405.30

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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.