Finding the Fourth Proportional to 636,820,289,773.08, 955,364,609,382.08 and 206,523,822,463.62
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Solution
The fourth proportional to 636,820,289,773.08, 955,364,609,382.08 and 206,523,822,463.62 is: 309,829,247,190.53
Step by Step Solution
- Step 1: Write the proportion equation
636,820,289,773.08 : 955,364,609,382.08 = 206,523,822,463.62 : x - Step 2: Convert to fraction form
636,820,289,773.08/955,364,609,382.08 = 206,523,822,463.62/x - Step 3: Cross multiply
636,820,289,773.08x = 955,364,609,382.08 × 206,523,822,463.62 - Step 4: Simplify right side
636,820,289,773.08x = 197,305,550,976,050,347,900,928 - Step 5: Solve for x
x = 197,305,550,976,050,347,900,928/636,820,289,773.08 - Step 6: Final answer
x = 309,829,247,190.53
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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.