Finding the Fourth Proportional to 136,279,215,583.12, 204,236,098,984.36 and 106,062,841,421.09
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Solution
The fourth proportional to 136,279,215,583.12, 204,236,098,984.36 and 106,062,841,421.09 is: 158,952,052,125.87
Step by Step Solution
- Step 1: Write the proportion equation
136,279,215,583.12 : 204,236,098,984.36 = 106,062,841,421.09 : x - Step 2: Convert to fraction form
136,279,215,583.12/204,236,098,984.36 = 106,062,841,421.09/x - Step 3: Cross multiply
136,279,215,583.12x = 204,236,098,984.36 × 106,062,841,421.09 - Step 4: Simplify right side
136,279,215,583.12x = 21,661,860,979,040,212,484,096 - Step 5: Solve for x
x = 21,661,860,979,040,212,484,096/136,279,215,583.12 - Step 6: Final answer
x = 158,952,052,125.87
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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.