Finding the Fourth Proportional to 2,498,170,726,311, 3,446,206,826,782.40 and 1,631,582,765,208.40
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Solution
The fourth proportional to 2,498,170,726,311, 3,446,206,826,782.40 and 1,631,582,765,208.40 is: 2,250,755,564,742.66
Step by Step Solution
- Step 1: Write the proportion equation
2,498,170,726,311 : 3,446,206,826,782.40 = 1,631,582,765,208.40 : x - Step 2: Convert to fraction form
2,498,170,726,311/3,446,206,826,782.40 = 1,631,582,765,208.40/x - Step 3: Cross multiply
2,498,170,726,311x = 3,446,206,826,782.40 × 1,631,582,765,208.40 - Step 4: Simplify right side
2,498,170,726,311x = 5,622,771,663,921,692,767,420,416 - Step 5: Solve for x
x = 5,622,771,663,921,692,767,420,416/2,498,170,726,311 - Step 6: Final answer
x = 2,250,755,564,742.66
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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.