Finding the Fourth Proportional to 302,706,442,882.84, 417,538,059,671.48 and 194,147,589,796.68
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Solution
The fourth proportional to 302,706,442,882.84, 417,538,059,671.48 and 194,147,589,796.68 is: 267,797,431,602.66
Step by Step Solution
- Step 1: Write the proportion equation
302,706,442,882.84 : 417,538,059,671.48 = 194,147,589,796.68 : x - Step 2: Convert to fraction form
302,706,442,882.84/417,538,059,671.48 = 194,147,589,796.68/x - Step 3: Cross multiply
302,706,442,882.84x = 417,538,059,671.48 × 194,147,589,796.68 - Step 4: Simplify right side
302,706,442,882.84x = 81,064,007,933,600,194,363,392 - Step 5: Solve for x
x = 81,064,007,933,600,194,363,392/302,706,442,882.84 - Step 6: Final answer
x = 267,797,431,602.66
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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.