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Finding the Fourth Proportional to 721,713,489.40, 1,082,570,234.10 and 721,713,489.40

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Solution

The fourth proportional to 721,713,489.40, 1,082,570,234.10 and 721,713,489.40 is: 1,082,570,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,713,489.40 : 1,082,570,234.10 = 721,713,489.40 : x
  2. Step 2: Convert to fraction form
    721,713,489.40/1,082,570,234.10 = 721,713,489.40/x
  3. Step 3: Cross multiply
    721,713,489.40x = 1,082,570,234.10 × 721,713,489.40
  4. Step 4: Simplify right side
    721,713,489.40x = 781,305,541,172,885,760
  5. Step 5: Solve for x
    x = 781,305,541,172,885,760/721,713,489.40
  6. Step 6: Final answer
    x = 1,082,570,234.10

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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.