Finding the Fourth Proportional to 49,131,670,448,460, 67,803,836,515,806 and 27,208,077,679,122
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Solution
The fourth proportional to 49,131,670,448,460, 67,803,836,515,806 and 27,208,077,679,122 is: 37,548,327,464,253.01
Step by Step Solution
- Step 1: Write the proportion equation
49,131,670,448,460 : 67,803,836,515,806 = 27,208,077,679,122 : x - Step 2: Convert to fraction form
49,131,670,448,460/67,803,836,515,806 = 27,208,077,679,122/x - Step 3: Cross multiply
49,131,670,448,460x = 67,803,836,515,806 × 27,208,077,679,122 - Step 4: Simplify right side
49,131,670,448,460x = 1,844,812,050,864,538,431,478,824,960 - Step 5: Solve for x
x = 1,844,812,050,864,538,431,478,824,960/49,131,670,448,460 - Step 6: Final answer
x = 37,548,327,464,253.01
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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.