Finding the Fourth Proportional to 27,271,538,813,004, 37,634,423,744,190 and 14,770,957,883,944
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Solution
The fourth proportional to 27,271,538,813,004, 37,634,423,744,190 and 14,770,957,883,944 is: 20,383,759,490,933.54
Step by Step Solution
- Step 1: Write the proportion equation
27,271,538,813,004 : 37,634,423,744,190 = 14,770,957,883,944 : x - Step 2: Convert to fraction form
27,271,538,813,004/37,634,423,744,190 = 14,770,957,883,944/x - Step 3: Cross multiply
27,271,538,813,004x = 37,634,423,744,190 × 14,770,957,883,944 - Step 4: Simplify right side
27,271,538,813,004x = 555,896,488,111,932,558,670,823,424 - Step 5: Solve for x
x = 555,896,488,111,932,558,670,823,424/27,271,538,813,004 - Step 6: Final answer
x = 20,383,759,490,933.54
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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.