Finding the Fourth Proportional to 27,636,571,161,330, 38,139,667,057,180 and 15,304,550,228,576
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Solution
The fourth proportional to 27,636,571,161,330, 38,139,667,057,180 and 15,304,550,228,576 is: 21,120,943,215,796.74
Step by Step Solution
- Step 1: Write the proportion equation
27,636,571,161,330 : 38,139,667,057,180 = 15,304,550,228,576 : x - Step 2: Convert to fraction form
27,636,571,161,330/38,139,667,057,180 = 15,304,550,228,576/x - Step 3: Cross multiply
27,636,571,161,330x = 38,139,667,057,180 × 15,304,550,228,576 - Step 4: Simplify right side
27,636,571,161,330x = 583,710,450,177,776,679,307,444,224 - Step 5: Solve for x
x = 583,710,450,177,776,679,307,444,224/27,636,571,161,330 - Step 6: Final answer
x = 21,120,943,215,796.74
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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.