Finding the Fourth Proportional to 32,841,864,649,144, 45,321,818,096,432 and 17,824,603,307,105
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Solution
The fourth proportional to 32,841,864,649,144, 45,321,818,096,432 and 17,824,603,307,105 is: 24,597,976,922,322.19
Step by Step Solution
- Step 1: Write the proportion equation
32,841,864,649,144 : 45,321,818,096,432 = 17,824,603,307,105 : x - Step 2: Convert to fraction form
32,841,864,649,144/45,321,818,096,432 = 17,824,603,307,105/x - Step 3: Cross multiply
32,841,864,649,144x = 45,321,818,096,432 × 17,824,603,307,105 - Step 4: Simplify right side
32,841,864,649,144x = 807,843,428,725,673,111,012,245,504 - Step 5: Solve for x
x = 807,843,428,725,673,111,012,245,504/32,841,864,649,144 - Step 6: Final answer
x = 24,597,976,922,322.19
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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.