Finding the Fourth Proportional to 55,163,375,078,941, 82,745,142,255,498 and 22,527,136,172,419
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Solution
The fourth proportional to 55,163,375,078,941, 82,745,142,255,498 and 22,527,136,172,419 is: 33,790,736,780,124.68
Step by Step Solution
- Step 1: Write the proportion equation
55,163,375,078,941 : 82,745,142,255,498 = 22,527,136,172,419 : x - Step 2: Convert to fraction form
55,163,375,078,941/82,745,142,255,498 = 22,527,136,172,419/x - Step 3: Cross multiply
55,163,375,078,941x = 82,745,142,255,498 × 22,527,136,172,419 - Step 4: Simplify right side
55,163,375,078,941x = 1,864,011,087,195,784,766,776,410,112 - Step 5: Solve for x
x = 1,864,011,087,195,784,766,776,410,112/55,163,375,078,941 - Step 6: Final answer
x = 33,790,736,780,124.68
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.