Finding the Fourth Proportional to 384,263,994,916.23, 576,279,945,588.99 and 115,581,649,998.90
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Solution
The fourth proportional to 384,263,994,916.23, 576,279,945,588.99 and 115,581,649,998.90 is: 173,337,569,623.12
Step by Step Solution
- Step 1: Write the proportion equation
384,263,994,916.23 : 576,279,945,588.99 = 115,581,649,998.90 : x - Step 2: Convert to fraction form
384,263,994,916.23/576,279,945,588.99 = 115,581,649,998.90/x - Step 3: Cross multiply
384,263,994,916.23x = 576,279,945,588.99 × 115,581,649,998.90 - Step 4: Simplify right side
384,263,994,916.23x = 66,607,386,972,451,770,466,304 - Step 5: Solve for x
x = 66,607,386,972,451,770,466,304/384,263,994,916.23 - Step 6: Final answer
x = 173,337,569,623.12
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.