Finding the Fourth Proportional to 4,137,478,754,745.80, 6,206,195,556,551.50 and 1,686,987,380,505
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Solution
The fourth proportional to 4,137,478,754,745.80, 6,206,195,556,551.50 and 1,686,987,380,505 is: 2,530,471,865,949.64
Step by Step Solution
- Step 1: Write the proportion equation
4,137,478,754,745.80 : 6,206,195,556,551.50 = 1,686,987,380,505 : x - Step 2: Convert to fraction form
4,137,478,754,745.80/6,206,195,556,551.50 = 1,686,987,380,505/x - Step 3: Cross multiply
4,137,478,754,745.80x = 6,206,195,556,551.50 × 1,686,987,380,505 - Step 4: Simplify right side
4,137,478,754,745.80x = 10,469,773,584,848,584,691,417,088 - Step 5: Solve for x
x = 10,469,773,584,848,584,691,417,088/4,137,478,754,745.80 - Step 6: Final answer
x = 2,530,471,865,949.64
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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.