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Finding the Fourth Proportional to 447,907,486.80, 671,760,401.40 and 160,693,150.80

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Solution

The fourth proportional to 447,907,486.80, 671,760,401.40 and 160,693,150.80 is: 241,003,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,907,486.80 : 671,760,401.40 = 160,693,150.80 : x
  2. Step 2: Convert to fraction form
    447,907,486.80/671,760,401.40 = 160,693,150.80/x
  3. Step 3: Cross multiply
    447,907,486.80x = 671,760,401.40 × 160,693,150.80
  4. Step 4: Simplify right side
    447,907,486.80x = 107,947,295,483,638,736
  5. Step 5: Solve for x
    x = 107,947,295,483,638,736/447,907,486.80
  6. Step 6: Final answer
    x = 241,003,552.44

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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.