Finding the Fourth Proportional to 2,006,397,189,674.20, 3,008,364,097,700.20 and 779,724,016,125.95
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Solution
The fourth proportional to 2,006,397,189,674.20, 3,008,364,097,700.20 and 779,724,016,125.95 is: 1,169,107,367,324.82
Step by Step Solution
- Step 1: Write the proportion equation
2,006,397,189,674.20 : 3,008,364,097,700.20 = 779,724,016,125.95 : x - Step 2: Convert to fraction form
2,006,397,189,674.20/3,008,364,097,700.20 = 779,724,016,125.95/x - Step 3: Cross multiply
2,006,397,189,674.20x = 3,008,364,097,700.20 × 779,724,016,125.95 - Step 4: Simplify right side
2,006,397,189,674.20x = 2,345,693,736,227,919,888,384,000 - Step 5: Solve for x
x = 2,345,693,736,227,919,888,384,000/2,006,397,189,674.20 - Step 6: Final answer
x = 1,169,107,367,324.82
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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.