Finding the Fourth Proportional to 49,131,670,448,424, 67,803,836,515,764 and 27,208,077,679,092
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Solution
The fourth proportional to 49,131,670,448,424, 67,803,836,515,764 and 27,208,077,679,092 is: 37,548,327,464,215.86
Step by Step Solution
- Step 1: Write the proportion equation
49,131,670,448,424 : 67,803,836,515,764 = 27,208,077,679,092 : x - Step 2: Convert to fraction form
49,131,670,448,424/67,803,836,515,764 = 27,208,077,679,092/x - Step 3: Cross multiply
49,131,670,448,424x = 67,803,836,515,764 × 27,208,077,679,092 - Step 4: Simplify right side
49,131,670,448,424x = 1,844,812,050,861,361,667,508,273,152 - Step 5: Solve for x
x = 1,844,812,050,861,361,667,508,273,152/49,131,670,448,424 - Step 6: Final answer
x = 37,548,327,464,215.86
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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.