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Finding the Fourth Proportional to 665,389,540.80, 998,065,648.80 and 301,883,313.60

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Solution

The fourth proportional to 665,389,540.80, 998,065,648.80 and 301,883,313.60 is: 452,816,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,389,540.80 : 998,065,648.80 = 301,883,313.60 : x
  2. Step 2: Convert to fraction form
    665,389,540.80/998,065,648.80 = 301,883,313.60/x
  3. Step 3: Cross multiply
    665,389,540.80x = 998,065,648.80 × 301,883,313.60
  4. Step 4: Simplify right side
    665,389,540.80x = 301,299,365,250,077,888
  5. Step 5: Solve for x
    x = 301,299,365,250,077,888/665,389,540.80
  6. Step 6: Final answer
    x = 452,816,503.38

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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.