Finding the Fourth Proportional to 3,413,546,524,905.60, 5,120,620,797,280.20 and 963,086,208,858.14
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Solution
The fourth proportional to 3,413,546,524,905.60, 5,120,620,797,280.20 and 963,086,208,858.14 is: 1,444,714,239,185.33
Step by Step Solution
- Step 1: Write the proportion equation
3,413,546,524,905.60 : 5,120,620,797,280.20 = 963,086,208,858.14 : x - Step 2: Convert to fraction form
3,413,546,524,905.60/5,120,620,797,280.20 = 963,086,208,858.14/x - Step 3: Cross multiply
3,413,546,524,905.60x = 5,120,620,797,280.20 × 963,086,208,858.14 - Step 4: Simplify right side
3,413,546,524,905.60x = 4,931,599,270,652,734,764,744,704 - Step 5: Solve for x
x = 4,931,599,270,652,734,764,744,704/3,413,546,524,905.60 - Step 6: Final answer
x = 1,444,714,239,185.33
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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.