Finding the Fourth Proportional to 41,296,312,238,414, 57,014,634,741,090 and 26,287,522,278,177
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Solution
The fourth proportional to 41,296,312,238,414, 57,014,634,741,090 and 26,287,522,278,177 is: 36,293,155,482,885.04
Step by Step Solution
- Step 1: Write the proportion equation
41,296,312,238,414 : 57,014,634,741,090 = 26,287,522,278,177 : x - Step 2: Convert to fraction form
41,296,312,238,414/57,014,634,741,090 = 26,287,522,278,177/x - Step 3: Cross multiply
41,296,312,238,414x = 57,014,634,741,090 × 26,287,522,278,177 - Step 4: Simplify right side
41,296,312,238,414x = 1,498,773,480,938,527,649,920,188,416 - Step 5: Solve for x
x = 1,498,773,480,938,527,649,920,188,416/41,296,312,238,414 - Step 6: Final answer
x = 36,293,155,482,885.04
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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.