Finding the Fourth Proportional to 267,511,291,818.24, 369,165,642,966.96 and 147,217,229,983.68
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Solution
The fourth proportional to 267,511,291,818.24, 369,165,642,966.96 and 147,217,229,983.68 is: 203,159,810,538.64
Step by Step Solution
- Step 1: Write the proportion equation
267,511,291,818.24 : 369,165,642,966.96 = 147,217,229,983.68 : x - Step 2: Convert to fraction form
267,511,291,818.24/369,165,642,966.96 = 147,217,229,983.68/x - Step 3: Cross multiply
267,511,291,818.24x = 369,165,642,966.96 × 147,217,229,983.68 - Step 4: Simplify right side
267,511,291,818.24x = 54,347,543,362,740,047,314,944 - Step 5: Solve for x
x = 54,347,543,362,740,047,314,944/267,511,291,818.24 - Step 6: Final answer
x = 203,159,810,538.64
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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.