Finding the Fourth Proportional to 302,706,442,883.59, 417,538,059,672.49 and 194,147,589,797.44
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Solution
The fourth proportional to 302,706,442,883.59, 417,538,059,672.49 and 194,147,589,797.44 is: 267,797,431,603.69
Step by Step Solution
- Step 1: Write the proportion equation
302,706,442,883.59 : 417,538,059,672.49 = 194,147,589,797.44 : x - Step 2: Convert to fraction form
302,706,442,883.59/417,538,059,672.49 = 194,147,589,797.44/x - Step 3: Cross multiply
302,706,442,883.59x = 417,538,059,672.49 × 194,147,589,797.44 - Step 4: Simplify right side
302,706,442,883.59x = 81,064,007,934,113,610,727,424 - Step 5: Solve for x
x = 81,064,007,934,113,610,727,424/302,706,442,883.59 - Step 6: Final answer
x = 267,797,431,603.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.