Finding the Fourth Proportional to 1,295,538,972,924.80, 1,786,982,917,268.70 and 833,150,589,977.84
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Solution
The fourth proportional to 1,295,538,972,924.80, 1,786,982,917,268.70 and 833,150,589,977.84 is: 1,149,194,198,644.27
Step by Step Solution
- Step 1: Write the proportion equation
1,295,538,972,924.80 : 1,786,982,917,268.70 = 833,150,589,977.84 : x - Step 2: Convert to fraction form
1,295,538,972,924.80/1,786,982,917,268.70 = 833,150,589,977.84/x - Step 3: Cross multiply
1,295,538,972,924.80x = 1,786,982,917,268.70 × 833,150,589,977.84 - Step 4: Simplify right side
1,295,538,972,924.80x = 1,488,825,871,802,739,007,160,320 - Step 5: Solve for x
x = 1,488,825,871,802,739,007,160,320/1,295,538,972,924.80 - Step 6: Final answer
x = 1,149,194,198,644.27
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.