Finding the Fourth Proportional to 19,674,863,645,635, 27,152,165,312,380 and 10,895,524,524,563
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Solution
The fourth proportional to 19,674,863,645,635, 27,152,165,312,380 and 10,895,524,524,563 is: 15,036,296,483,897.54
Step by Step Solution
- Step 1: Write the proportion equation
19,674,863,645,635 : 27,152,165,312,380 = 10,895,524,524,563 : x - Step 2: Convert to fraction form
19,674,863,645,635/27,152,165,312,380 = 10,895,524,524,563/x - Step 3: Cross multiply
19,674,863,645,635x = 27,152,165,312,380 × 10,895,524,524,563 - Step 4: Simplify right side
19,674,863,645,635x = 295,837,083,056,025,079,505,747,968 - Step 5: Solve for x
x = 295,837,083,056,025,079,505,747,968/19,674,863,645,635 - Step 6: Final answer
x = 15,036,296,483,897.54
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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.