Finding the Fourth Proportional to 4,114,811,247.70, 5,678,595,616.32 and 2,306,356,542.13
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Solution
The fourth proportional to 4,114,811,247.70, 5,678,595,616.32 and 2,306,356,542.13 is: 3,182,859,519.29
Step by Step Solution
- Step 1: Write the proportion equation
4,114,811,247.70 : 5,678,595,616.32 = 2,306,356,542.13 : x - Step 2: Convert to fraction form
4,114,811,247.70/5,678,595,616.32 = 2,306,356,542.13/x - Step 3: Cross multiply
4,114,811,247.70x = 5,678,595,616.32 × 2,306,356,542.13 - Step 4: Simplify right side
4,114,811,247.70x = 13,096,866,149,810,370,560 - Step 5: Solve for x
x = 13,096,866,149,810,370,560/4,114,811,247.70 - Step 6: Final answer
x = 3,182,859,519.29
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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.