Finding the Fourth Proportional to 1,461,686,024.97, 2,192,657,939.24 and 412,433,430.84
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Solution
The fourth proportional to 1,461,686,024.97, 2,192,657,939.24 and 412,433,430.84 is: 618,686,517.55
Step by Step Solution
- Step 1: Write the proportion equation
1,461,686,024.97 : 2,192,657,939.24 = 412,433,430.84 : x - Step 2: Convert to fraction form
1,461,686,024.97/2,192,657,939.24 = 412,433,430.84/x - Step 3: Cross multiply
1,461,686,024.97x = 2,192,657,939.24 × 412,433,430.84 - Step 4: Simplify right side
1,461,686,024.97x = 904,325,436,537,255,296 - Step 5: Solve for x
x = 904,325,436,537,255,296/1,461,686,024.97 - Step 6: Final answer
x = 618,686,517.55
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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.