Finding the Fourth Proportional to 1,461,686,027.97, 2,192,657,943.75 and 412,433,433.84
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Solution
The fourth proportional to 1,461,686,027.97, 2,192,657,943.75 and 412,433,433.84 is: 618,686,522.05
Step by Step Solution
- Step 1: Write the proportion equation
1,461,686,027.97 : 2,192,657,943.75 = 412,433,433.84 : x - Step 2: Convert to fraction form
1,461,686,027.97/2,192,657,943.75 = 412,433,433.84/x - Step 3: Cross multiply
1,461,686,027.97x = 2,192,657,943.75 × 412,433,433.84 - Step 4: Simplify right side
1,461,686,027.97x = 904,325,444,977,366,016 - Step 5: Solve for x
x = 904,325,444,977,366,016/1,461,686,027.97 - Step 6: Final answer
x = 618,686,522.05
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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.