Finding the Fourth Proportional to 324,588,752,536.95, 447,746,376,348.90 and 202,441,424,175.18
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Solution
The fourth proportional to 324,588,752,536.95, 447,746,376,348.90 and 202,441,424,175.18 is: 279,253,096,075.87
Step by Step Solution
- Step 1: Write the proportion equation
324,588,752,536.95 : 447,746,376,348.90 = 202,441,424,175.18 : x - Step 2: Convert to fraction form
324,588,752,536.95/447,746,376,348.90 = 202,441,424,175.18/x - Step 3: Cross multiply
324,588,752,536.95x = 447,746,376,348.90 × 202,441,424,175.18 - Step 4: Simplify right side
324,588,752,536.95x = 90,642,414,097,347,446,308,864 - Step 5: Solve for x
x = 90,642,414,097,347,446,308,864/324,588,752,536.95 - Step 6: Final answer
x = 279,253,096,075.87
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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.