Finding the Fourth Proportional to 7,770,785,542.80, 10,723,716,136.84 and 4,202,492,371.28
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Solution
The fourth proportional to 7,770,785,542.80, 10,723,716,136.84 and 4,202,492,371.28 is: 5,799,456,825.65
Step by Step Solution
- Step 1: Write the proportion equation
7,770,785,542.80 : 10,723,716,136.84 = 4,202,492,371.28 : x - Step 2: Convert to fraction form
7,770,785,542.80/10,723,716,136.84 = 4,202,492,371.28/x - Step 3: Cross multiply
7,770,785,542.80x = 10,723,716,136.84 × 4,202,492,371.28 - Step 4: Simplify right side
7,770,785,542.80x = 45,066,335,256,842,338,304 - Step 5: Solve for x
x = 45,066,335,256,842,338,304/7,770,785,542.80 - Step 6: Final answer
x = 5,799,456,825.65
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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.