Finding the Fourth Proportional to 61,148,711,369,900, 84,385,218,463,260 and 33,023,101,253,758
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Solution
The fourth proportional to 61,148,711,369,900, 84,385,218,463,260 and 33,023,101,253,758 is: 45,571,877,987,349.34
Step by Step Solution
- Step 1: Write the proportion equation
61,148,711,369,900 : 84,385,218,463,260 = 33,023,101,253,758 : x - Step 2: Convert to fraction form
61,148,711,369,900/84,385,218,463,260 = 33,023,101,253,758/x - Step 3: Cross multiply
61,148,711,369,900x = 84,385,218,463,260 × 33,023,101,253,758 - Step 4: Simplify right side
61,148,711,369,900x = 2,786,661,613,632,724,232,122,138,624 - Step 5: Solve for x
x = 2,786,661,613,632,724,232,122,138,624/61,148,711,369,900 - Step 6: Final answer
x = 45,571,877,987,349.34
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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.