Finding the Fourth Proportional to 267,511,291,357.68, 369,165,642,331.68 and 147,217,229,523.18
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Solution
The fourth proportional to 267,511,291,357.68, 369,165,642,331.68 and 147,217,229,523.18 is: 203,159,809,903.31
Step by Step Solution
- Step 1: Write the proportion equation
267,511,291,357.68 : 369,165,642,331.68 = 147,217,229,523.18 : x - Step 2: Convert to fraction form
267,511,291,357.68/369,165,642,331.68 = 147,217,229,523.18/x - Step 3: Cross multiply
267,511,291,357.68x = 369,165,642,331.68 × 147,217,229,523.18 - Step 4: Simplify right side
267,511,291,357.68x = 54,347,543,099,215,106,277,376 - Step 5: Solve for x
x = 54,347,543,099,215,106,277,376/267,511,291,357.68 - Step 6: Final answer
x = 203,159,809,903.31
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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.