Finding the Fourth Proportional to 2,081,887,902,177, 3,121,189,471,391.10 and 1,315,360,376,753.80
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Solution
The fourth proportional to 2,081,887,902,177, 3,121,189,471,391.10 and 1,315,360,376,753.80 is: 1,972,002,889,644.51
Step by Step Solution
- Step 1: Write the proportion equation
2,081,887,902,177 : 3,121,189,471,391.10 = 1,315,360,376,753.80 : x - Step 2: Convert to fraction form
2,081,887,902,177/3,121,189,471,391.10 = 1,315,360,376,753.80/x - Step 3: Cross multiply
2,081,887,902,177x = 3,121,189,471,391.10 × 1,315,360,376,753.80 - Step 4: Simplify right side
2,081,887,902,177x = 4,105,488,959,008,991,281,676,288 - Step 5: Solve for x
x = 4,105,488,959,008,991,281,676,288/2,081,887,902,177 - Step 6: Final answer
x = 1,972,002,889,644.51
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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.