Finding the Fourth Proportional to 27,424,087,272,075, 37,845,246,612,828 and 15,092,066,339,319
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Solution
The fourth proportional to 27,424,087,272,075, 37,845,246,612,828 and 15,092,066,339,319 is: 20,827,054,947,797.05
Step by Step Solution
- Step 1: Write the proportion equation
27,424,087,272,075 : 37,845,246,612,828 = 15,092,066,339,319 : x - Step 2: Convert to fraction form
27,424,087,272,075/37,845,246,612,828 = 15,092,066,339,319/x - Step 3: Cross multiply
27,424,087,272,075x = 37,845,246,612,828 × 15,092,066,339,319 - Step 4: Simplify right side
27,424,087,272,075x = 571,162,972,508,687,832,472,092,672 - Step 5: Solve for x
x = 571,162,972,508,687,832,472,092,672/27,424,087,272,075 - Step 6: Final answer
x = 20,827,054,947,797.05
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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.