Finding the Fourth Proportional to 147,267,422,744.14, 203,234,057,822.42 and 85,463,207,306.19
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Solution
The fourth proportional to 147,267,422,744.14, 203,234,057,822.42 and 85,463,207,306.19 is: 117,942,136,093.01
Step by Step Solution
- Step 1: Write the proportion equation
147,267,422,744.14 : 203,234,057,822.42 = 85,463,207,306.19 : x - Step 2: Convert to fraction form
147,267,422,744.14/203,234,057,822.42 = 85,463,207,306.19/x - Step 3: Cross multiply
147,267,422,744.14x = 203,234,057,822.42 × 85,463,207,306.19 - Step 4: Simplify right side
147,267,422,744.14x = 17,369,034,415,355,688,124,416 - Step 5: Solve for x
x = 17,369,034,415,355,688,124,416/147,267,422,744.14 - Step 6: Final answer
x = 117,942,136,093.01
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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.