Finding the Fourth Proportional to 7,540,264,682,238.80, 11,310,397,172,826 and 1,809,896,259,278.40
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Solution
The fourth proportional to 7,540,264,682,238.80, 11,310,397,172,826 and 1,809,896,259,278.40 is: 2,714,844,424,794.49
Step by Step Solution
- Step 1: Write the proportion equation
7,540,264,682,238.80 : 11,310,397,172,826 = 1,809,896,259,278.40 : x - Step 2: Convert to fraction form
7,540,264,682,238.80/11,310,397,172,826 = 1,809,896,259,278.40/x - Step 3: Cross multiply
7,540,264,682,238.80x = 11,310,397,172,826 × 1,809,896,259,278.40 - Step 4: Simplify right side
7,540,264,682,238.80x = 20,470,645,534,050,767,540,846,592 - Step 5: Solve for x
x = 20,470,645,534,050,767,540,846,592/7,540,264,682,238.80 - Step 6: Final answer
x = 2,714,844,424,794.49
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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.