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Finding the Fourth Proportional to 295,945,327.80, 415,003,703.40 and 295,945,327.80

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Solution

The fourth proportional to 295,945,327.80, 415,003,703.40 and 295,945,327.80 is: 415,003,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,945,327.80 : 415,003,703.40 = 295,945,327.80 : x
  2. Step 2: Convert to fraction form
    295,945,327.80/415,003,703.40 = 295,945,327.80/x
  3. Step 3: Cross multiply
    295,945,327.80x = 415,003,703.40 × 295,945,327.80
  4. Step 4: Simplify right side
    295,945,327.80x = 122,818,407,040,926,976
  5. Step 5: Solve for x
    x = 122,818,407,040,926,976/295,945,327.80
  6. Step 6: Final answer
    x = 415,003,703.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.