Finding the Fourth Proportional to 41,814,666,064,194, 57,704,418,566,324 and 22,808,858,568,138
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Solution
The fourth proportional to 41,814,666,064,194, 57,704,418,566,324 and 22,808,858,568,138 is: 31,476,322,681,026.07
Step by Step Solution
- Step 1: Write the proportion equation
41,814,666,064,194 : 57,704,418,566,324 = 22,808,858,568,138 : x - Step 2: Convert to fraction form
41,814,666,064,194/57,704,418,566,324 = 22,808,858,568,138/x - Step 3: Cross multiply
41,814,666,064,194x = 57,704,418,566,324 × 22,808,858,568,138 - Step 4: Simplify right side
41,814,666,064,194x = 1,316,171,921,835,920,686,317,568,000 - Step 5: Solve for x
x = 1,316,171,921,835,920,686,317,568,000/41,814,666,064,194 - Step 6: Final answer
x = 31,476,322,681,026.07
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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.