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Finding the Fourth Proportional to 652,664,241.54, 978,709,077.96 and 345,884,478.66

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Solution

The fourth proportional to 652,664,241.54, 978,709,077.96 and 345,884,478.66 is: 518,674,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,664,241.54 : 978,709,077.96 = 345,884,478.66 : x
  2. Step 2: Convert to fraction form
    652,664,241.54/978,709,077.96 = 345,884,478.66/x
  3. Step 3: Cross multiply
    652,664,241.54x = 978,709,077.96 × 345,884,478.66
  4. Step 4: Simplify right side
    652,664,241.54x = 338,520,279,190,003,904
  5. Step 5: Solve for x
    x = 338,520,279,190,003,904/652,664,241.54
  6. Step 6: Final answer
    x = 518,674,469.42

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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.