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Finding the Fourth Proportional to 652,664,238.54, 978,709,073.46 and 345,884,475.66

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Solution

The fourth proportional to 652,664,238.54, 978,709,073.46 and 345,884,475.66 is: 518,674,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,664,238.54 : 978,709,073.46 = 345,884,475.66 : x
  2. Step 2: Convert to fraction form
    652,664,238.54/978,709,073.46 = 345,884,475.66/x
  3. Step 3: Cross multiply
    652,664,238.54x = 978,709,073.46 × 345,884,475.66
  4. Step 4: Simplify right side
    652,664,238.54x = 338,520,274,697,396,544
  5. Step 5: Solve for x
    x = 338,520,274,697,396,544/652,664,238.54
  6. Step 6: Final answer
    x = 518,674,464.92

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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.