Finding the Fourth Proportional to 33,942,772,117,516, 50,914,158,119,156 and 8,156,114,216,013
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Solution
The fourth proportional to 33,942,772,117,516, 50,914,158,119,156 and 8,156,114,216,013 is: 12,234,171,310,294.61
Step by Step Solution
- Step 1: Write the proportion equation
33,942,772,117,516 : 50,914,158,119,156 = 8,156,114,216,013 : x - Step 2: Convert to fraction form
33,942,772,117,516/50,914,158,119,156 = 8,156,114,216,013/x - Step 3: Cross multiply
33,942,772,117,516x = 50,914,158,119,156 × 8,156,114,216,013 - Step 4: Simplify right side
33,942,772,117,516x = 415,261,688,831,981,938,152,570,880 - Step 5: Solve for x
x = 415,261,688,831,981,938,152,570,880/33,942,772,117,516 - Step 6: Final answer
x = 12,234,171,310,294.61
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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.