Finding the Fourth Proportional to 14,919,278,350,513, 22,378,917,525,770 and 14,919,278,350,513
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Solution
The fourth proportional to 14,919,278,350,513, 22,378,917,525,770 and 14,919,278,350,513 is: 22,378,917,525,770
Step by Step Solution
- Step 1: Write the proportion equation
14,919,278,350,513 : 22,378,917,525,770 = 14,919,278,350,513 : x - Step 2: Convert to fraction form
14,919,278,350,513/22,378,917,525,770 = 14,919,278,350,513/x - Step 3: Cross multiply
14,919,278,350,513x = 22,378,917,525,770 × 14,919,278,350,513 - Step 4: Simplify right side
14,919,278,350,513x = 333,877,299,750,136,333,696,237,568 - Step 5: Solve for x
x = 333,877,299,750,136,333,696,237,568/14,919,278,350,513 - Step 6: Final answer
x = 22,378,917,525,770
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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.