Finding the Fourth Proportional to 7,770,785,543.80, 10,723,716,138.22 and 4,202,492,372.28
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Solution
The fourth proportional to 7,770,785,543.80, 10,723,716,138.22 and 4,202,492,372.28 is: 5,799,456,827.03
Step by Step Solution
- Step 1: Write the proportion equation
7,770,785,543.80 : 10,723,716,138.22 = 4,202,492,372.28 : x - Step 2: Convert to fraction form
7,770,785,543.80/10,723,716,138.22 = 4,202,492,372.28/x - Step 3: Cross multiply
7,770,785,543.80x = 10,723,716,138.22 × 4,202,492,372.28 - Step 4: Simplify right side
7,770,785,543.80x = 45,066,335,273,365,487,616 - Step 5: Solve for x
x = 45,066,335,273,365,487,616/7,770,785,543.80 - Step 6: Final answer
x = 5,799,456,827.03
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1.5x scale
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.