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Finding the Fourth Proportional to 651,847,973.76, 978,202,723.32 and 306,900,249.12

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Solution

The fourth proportional to 651,847,973.76, 978,202,723.32 and 306,900,249.12 is: 460,553,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,847,973.76 : 978,202,723.32 = 306,900,249.12 : x
  2. Step 2: Convert to fraction form
    651,847,973.76/978,202,723.32 = 306,900,249.12/x
  3. Step 3: Cross multiply
    651,847,973.76x = 978,202,723.32 × 306,900,249.12
  4. Step 4: Simplify right side
    651,847,973.76x = 300,210,659,476,770,432
  5. Step 5: Solve for x
    x = 300,210,659,476,770,432/651,847,973.76
  6. Step 6: Final answer
    x = 460,553,183.51

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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.