Finding the Fourth Proportional to 4,114,811,242.70, 5,678,595,609.42 and 2,306,356,537.13
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Solution
The fourth proportional to 4,114,811,242.70, 5,678,595,609.42 and 2,306,356,537.13 is: 3,182,859,512.38
Step by Step Solution
- Step 1: Write the proportion equation
4,114,811,242.70 : 5,678,595,609.42 = 2,306,356,537.13 : x - Step 2: Convert to fraction form
4,114,811,242.70/5,678,595,609.42 = 2,306,356,537.13/x - Step 3: Cross multiply
4,114,811,242.70x = 5,678,595,609.42 × 2,306,356,537.13 - Step 4: Simplify right side
4,114,811,242.70x = 13,096,866,105,475,139,584 - Step 5: Solve for x
x = 13,096,866,105,475,139,584/4,114,811,242.70 - Step 6: Final answer
x = 3,182,859,512.38
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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.