Finding the Fourth Proportional to 55,163,375,078,732, 82,745,142,255,186 and 22,527,136,172,202
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Solution
The fourth proportional to 55,163,375,078,732, 82,745,142,255,186 and 22,527,136,172,202 is: 33,790,736,779,799.80
Step by Step Solution
- Step 1: Write the proportion equation
55,163,375,078,732 : 82,745,142,255,186 = 22,527,136,172,202 : x - Step 2: Convert to fraction form
55,163,375,078,732/82,745,142,255,186 = 22,527,136,172,202/x - Step 3: Cross multiply
55,163,375,078,732x = 82,745,142,255,186 × 22,527,136,172,202 - Step 4: Simplify right side
55,163,375,078,732x = 1,864,011,087,170,800,838,936,363,008 - Step 5: Solve for x
x = 1,864,011,087,170,800,838,936,363,008/55,163,375,078,732 - Step 6: Final answer
x = 33,790,736,779,799.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.