Finding the Fourth Proportional to 1,264,247,274,765, 1,744,662,530,380.50 and 686,183,912,717.84
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Solution
The fourth proportional to 1,264,247,274,765, 1,744,662,530,380.50 and 686,183,912,717.84 is: 946,934,500,366.02
Step by Step Solution
- Step 1: Write the proportion equation
1,264,247,274,765 : 1,744,662,530,380.50 = 686,183,912,717.84 : x - Step 2: Convert to fraction form
1,264,247,274,765/1,744,662,530,380.50 = 686,183,912,717.84/x - Step 3: Cross multiply
1,264,247,274,765x = 1,744,662,530,380.50 × 686,183,912,717.84 - Step 4: Simplify right side
1,264,247,274,765x = 1,197,159,361,468,698,822,967,296 - Step 5: Solve for x
x = 1,197,159,361,468,698,822,967,296/1,264,247,274,765 - Step 6: Final answer
x = 946,934,500,366.02
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.