Finding the Fourth Proportional to 1,015,706,936,002, 1,401,675,800,474 and 558,965,419,974
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Solution
The fourth proportional to 1,015,706,936,002, 1,401,675,800,474 and 558,965,419,974 is: 771,372,405,472.87
Step by Step Solution
- Step 1: Write the proportion equation
1,015,706,936,002 : 1,401,675,800,474 = 558,965,419,974 : x - Step 2: Convert to fraction form
1,015,706,936,002/1,401,675,800,474 = 558,965,419,974/x - Step 3: Cross multiply
1,015,706,936,002x = 1,401,675,800,474 × 558,965,419,974 - Step 4: Simplify right side
1,015,706,936,002x = 783,488,302,479,342,036,844,544 - Step 5: Solve for x
x = 783,488,302,479,342,036,844,544/1,015,706,936,002 - Step 6: Final answer
x = 771,372,405,472.87
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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.