Finding the Fourth Proportional to 3,413,546,524,895.20, 5,120,620,797,266.60 and 963,086,208,848.20
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Solution
The fourth proportional to 3,413,546,524,895.20, 5,120,620,797,266.60 and 963,086,208,848.20 is: 1,444,714,239,170.99
Step by Step Solution
- Step 1: Write the proportion equation
3,413,546,524,895.20 : 5,120,620,797,266.60 = 963,086,208,848.20 : x - Step 2: Convert to fraction form
3,413,546,524,895.20/5,120,620,797,266.60 = 963,086,208,848.20/x - Step 3: Cross multiply
3,413,546,524,895.20x = 5,120,620,797,266.60 × 963,086,208,848.20 - Step 4: Simplify right side
3,413,546,524,895.20x = 4,931,599,270,588,736,530,808,832 - Step 5: Solve for x
x = 4,931,599,270,588,736,530,808,832/3,413,546,524,895.20 - Step 6: Final answer
x = 1,444,714,239,170.99
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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.