Finding the Fourth Proportional to 48,182,414,937,822, 66,491,957,784,164 and 27,373,271,467,758
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Solution
The fourth proportional to 48,182,414,937,822, 66,491,957,784,164 and 27,373,271,467,758 is: 37,775,242,548,498.55
Step by Step Solution
- Step 1: Write the proportion equation
48,182,414,937,822 : 66,491,957,784,164 = 27,373,271,467,758 : x - Step 2: Convert to fraction form
48,182,414,937,822/66,491,957,784,164 = 27,373,271,467,758/x - Step 3: Cross multiply
48,182,414,937,822x = 66,491,957,784,164 × 27,373,271,467,758 - Step 4: Simplify right side
48,182,414,937,822x = 1,820,102,410,848,625,934,718,730,240 - Step 5: Solve for x
x = 1,820,102,410,848,625,934,718,730,240/48,182,414,937,822 - Step 6: Final answer
x = 37,775,242,548,498.55
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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.