Finding the Fourth Proportional to 3,413,546,524,896.70, 5,120,620,797,267.50 and 963,086,208,849.40
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Solution
The fourth proportional to 3,413,546,524,896.70, 5,120,620,797,267.50 and 963,086,208,849.40 is: 1,444,714,239,172.41
Step by Step Solution
- Step 1: Write the proportion equation
3,413,546,524,896.70 : 5,120,620,797,267.50 = 963,086,208,849.40 : x - Step 2: Convert to fraction form
3,413,546,524,896.70/5,120,620,797,267.50 = 963,086,208,849.40/x - Step 3: Cross multiply
3,413,546,524,896.70x = 5,120,620,797,267.50 × 963,086,208,849.40 - Step 4: Simplify right side
3,413,546,524,896.70x = 4,931,599,270,595,749,138,661,376 - Step 5: Solve for x
x = 4,931,599,270,595,749,138,661,376/3,413,546,524,896.70 - Step 6: Final answer
x = 1,444,714,239,172.41
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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.