Finding the Fourth Proportional to 27,945,663,668,932, 41,919,349,480,000 and 9,587,521,770,188.40
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Solution
The fourth proportional to 27,945,663,668,932, 41,919,349,480,000 and 9,587,521,770,188.40 is: 14,381,575,635,236.84
Step by Step Solution
- Step 1: Write the proportion equation
27,945,663,668,932 : 41,919,349,480,000 = 9,587,521,770,188.40 : x - Step 2: Convert to fraction form
27,945,663,668,932/41,919,349,480,000 = 9,587,521,770,188.40/x - Step 3: Cross multiply
27,945,663,668,932x = 41,919,349,480,000 × 9,587,521,770,188.40 - Step 4: Simplify right side
27,945,663,668,932x = 401,902,675,731,635,816,351,399,936 - Step 5: Solve for x
x = 401,902,675,731,635,816,351,399,936/27,945,663,668,932 - Step 6: Final answer
x = 14,381,575,635,236.84
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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.