Finding the Fourth Proportional to 176,135,233.80, 264,202,850.70 and 164,797,825.80
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Solution
The fourth proportional to 176,135,233.80, 264,202,850.70 and 164,797,825.80 is: 247,196,738.70
Step by Step Solution
- Step 1: Write the proportion equation
176,135,233.80 : 264,202,850.70 = 164,797,825.80 : x - Step 2: Convert to fraction form
176,135,233.80/264,202,850.70 = 164,797,825.80/x - Step 3: Cross multiply
176,135,233.80x = 264,202,850.70 × 164,797,825.80 - Step 4: Simplify right side
176,135,233.80x = 43,540,055,365,522,008 - Step 5: Solve for x
x = 43,540,055,365,522,008/176,135,233.80 - Step 6: Final answer
x = 247,196,738.70
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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.