Finding the Fourth Proportional to 201,657,391,105.70, 302,486,086,658.55 and 201,657,391,105.70
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Solution
The fourth proportional to 201,657,391,105.70, 302,486,086,658.55 and 201,657,391,105.70 is: 302,486,086,658.55
Step by Step Solution
- Step 1: Write the proportion equation
201,657,391,105.70 : 302,486,086,658.55 = 201,657,391,105.70 : x - Step 2: Convert to fraction form
201,657,391,105.70/302,486,086,658.55 = 201,657,391,105.70/x - Step 3: Cross multiply
201,657,391,105.70x = 302,486,086,658.55 × 201,657,391,105.70 - Step 4: Simplify right side
201,657,391,105.70x = 60,998,555,081,335,881,334,784 - Step 5: Solve for x
x = 60,998,555,081,335,881,334,784/201,657,391,105.70 - Step 6: Final answer
x = 302,486,086,658.55
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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.