Finding the Fourth Proportional to 27,424,087,276,167, 37,845,246,618,463 and 15,092,066,343,409
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Solution
The fourth proportional to 27,424,087,276,167, 37,845,246,618,463 and 15,092,066,343,409 is: 20,827,054,953,434.68
Step by Step Solution
- Step 1: Write the proportion equation
27,424,087,276,167 : 37,845,246,618,463 = 15,092,066,343,409 : x - Step 2: Convert to fraction form
27,424,087,276,167/37,845,246,618,463 = 15,092,066,343,409/x - Step 3: Cross multiply
27,424,087,276,167x = 37,845,246,618,463 × 15,092,066,343,409 - Step 4: Simplify right side
27,424,087,276,167x = 571,162,972,748,518,737,561,255,936 - Step 5: Solve for x
x = 571,162,972,748,518,737,561,255,936/27,424,087,276,167 - Step 6: Final answer
x = 20,827,054,953,434.68
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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.