Finding the Fourth Proportional to 4,114,811,248.70, 5,678,595,617.70 and 2,306,356,543.13
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Solution
The fourth proportional to 4,114,811,248.70, 5,678,595,617.70 and 2,306,356,543.13 is: 3,182,859,520.67
Step by Step Solution
- Step 1: Write the proportion equation
4,114,811,248.70 : 5,678,595,617.70 = 2,306,356,543.13 : x - Step 2: Convert to fraction form
4,114,811,248.70/5,678,595,617.70 = 2,306,356,543.13/x - Step 3: Cross multiply
4,114,811,248.70x = 5,678,595,617.70 × 2,306,356,543.13 - Step 4: Simplify right side
4,114,811,248.70x = 13,096,866,158,671,738,880 - Step 5: Solve for x
x = 13,096,866,158,671,738,880/4,114,811,248.70 - Step 6: Final answer
x = 3,182,859,520.67
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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.