Finding the Fourth Proportional to 27,021,261,755,112, 37,286,359,718,121 and 15,153,328,864,794
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Solution
The fourth proportional to 27,021,261,755,112, 37,286,359,718,121 and 15,153,328,864,794 is: 20,909,921,827,495.85
Step by Step Solution
- Step 1: Write the proportion equation
27,021,261,755,112 : 37,286,359,718,121 = 15,153,328,864,794 : x - Step 2: Convert to fraction form
27,021,261,755,112/37,286,359,718,121 = 15,153,328,864,794/x - Step 3: Cross multiply
27,021,261,755,112x = 37,286,359,718,121 × 15,153,328,864,794 - Step 4: Simplify right side
27,021,261,755,112x = 565,012,470,979,695,233,986,461,696 - Step 5: Solve for x
x = 565,012,470,979,695,233,986,461,696/27,021,261,755,112 - Step 6: Final answer
x = 20,909,921,827,495.85
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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.