Finding the Fourth Proportional to 32,202,665,519,026, 48,310,783,212,656 and 10,443,476,258,539
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Solution
The fourth proportional to 32,202,665,519,026, 48,310,783,212,656 and 10,443,476,258,539 is: 15,667,414,773,932.59
Step by Step Solution
- Step 1: Write the proportion equation
32,202,665,519,026 : 48,310,783,212,656 = 10,443,476,258,539 : x - Step 2: Convert to fraction form
32,202,665,519,026/48,310,783,212,656 = 10,443,476,258,539/x - Step 3: Cross multiply
32,202,665,519,026x = 48,310,783,212,656 × 10,443,476,258,539 - Step 4: Simplify right side
32,202,665,519,026x = 504,532,517,512,797,411,304,538,112 - Step 5: Solve for x
x = 504,532,517,512,797,411,304,538,112/32,202,665,519,026 - Step 6: Final answer
x = 15,667,414,773,932.59
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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.