Finding the Fourth Proportional to 32,150,916,062,216, 48,226,371,433,608 and 8,916,718,336,516
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Solution
The fourth proportional to 32,150,916,062,216, 48,226,371,433,608 and 8,916,718,336,516 is: 13,375,076,767,129.75
Step by Step Solution
- Step 1: Write the proportion equation
32,150,916,062,216 : 48,226,371,433,608 = 8,916,718,336,516 : x - Step 2: Convert to fraction form
32,150,916,062,216/48,226,371,433,608 = 8,916,718,336,516/x - Step 3: Cross multiply
32,150,916,062,216x = 48,226,371,433,608 × 8,916,718,336,516 - Step 4: Simplify right side
32,150,916,062,216x = 430,020,970,465,683,847,377,846,272 - Step 5: Solve for x
x = 430,020,970,465,683,847,377,846,272/32,150,916,062,216 - Step 6: Final answer
x = 13,375,076,767,129.75
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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.