Finding the Fourth Proportional to 49,131,670,448,462, 67,803,836,515,808 and 27,208,077,679,124
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Solution
The fourth proportional to 49,131,670,448,462, 67,803,836,515,808 and 27,208,077,679,124 is: 37,548,327,464,255.34
Step by Step Solution
- Step 1: Write the proportion equation
49,131,670,448,462 : 67,803,836,515,808 = 27,208,077,679,124 : x - Step 2: Convert to fraction form
49,131,670,448,462/67,803,836,515,808 = 27,208,077,679,124/x - Step 3: Cross multiply
49,131,670,448,462x = 67,803,836,515,808 × 27,208,077,679,124 - Step 4: Simplify right side
49,131,670,448,462x = 1,844,812,050,864,728,372,112,523,264 - Step 5: Solve for x
x = 1,844,812,050,864,728,372,112,523,264/49,131,670,448,462 - Step 6: Final answer
x = 37,548,327,464,255.34
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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.