Finding the Fourth Proportional to 106,859,100,110.14, 160,315,781,252.36 and 49,467,309,889.19
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Solution
The fourth proportional to 106,859,100,110.14, 160,315,781,252.36 and 49,467,309,889.19 is: 74,213,524,380.83
Step by Step Solution
- Step 1: Write the proportion equation
106,859,100,110.14 : 160,315,781,252.36 = 49,467,309,889.19 : x - Step 2: Convert to fraction form
106,859,100,110.14/160,315,781,252.36 = 49,467,309,889.19/x - Step 3: Cross multiply
106,859,100,110.14x = 160,315,781,252.36 × 49,467,309,889.19 - Step 4: Simplify right side
106,859,100,110.14x = 7,930,390,431,337,928,458,240 - Step 5: Solve for x
x = 7,930,390,431,337,928,458,240/106,859,100,110.14 - Step 6: Final answer
x = 74,213,524,380.83
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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.