Finding the Fourth Proportional to 55,163,375,078,696, 82,745,142,255,132 and 22,527,136,172,166
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Solution
The fourth proportional to 55,163,375,078,696, 82,745,142,255,132 and 22,527,136,172,166 is: 33,790,736,779,745.79
Step by Step Solution
- Step 1: Write the proportion equation
55,163,375,078,696 : 82,745,142,255,132 = 22,527,136,172,166 : x - Step 2: Convert to fraction form
55,163,375,078,696/82,745,142,255,132 = 22,527,136,172,166/x - Step 3: Cross multiply
55,163,375,078,696x = 82,745,142,255,132 × 22,527,136,172,166 - Step 4: Simplify right side
55,163,375,078,696x = 1,864,011,087,166,605,377,442,676,736 - Step 5: Solve for x
x = 1,864,011,087,166,605,377,442,676,736/55,163,375,078,696 - Step 6: Final answer
x = 33,790,736,779,745.79
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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.