Finding the Fourth Proportional to 328,261,751,247.34, 491,751,367,764.42 and 226,140,305,759.98
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Solution
The fourth proportional to 328,261,751,247.34, 491,751,367,764.42 and 226,140,305,759.98 is: 338,768,693,707.31
Step by Step Solution
- Step 1: Write the proportion equation
328,261,751,247.34 : 491,751,367,764.42 = 226,140,305,759.98 : x - Step 2: Convert to fraction form
328,261,751,247.34/491,751,367,764.42 = 226,140,305,759.98/x - Step 3: Cross multiply
328,261,751,247.34x = 491,751,367,764.42 × 226,140,305,759.98 - Step 4: Simplify right side
328,261,751,247.34x = 111,204,804,664,134,308,200,448 - Step 5: Solve for x
x = 111,204,804,664,134,308,200,448/328,261,751,247.34 - Step 6: Final answer
x = 338,768,693,707.31
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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.