Finding the Fourth Proportional to 2,022,201,541,216.20, 3,032,995,829,079.60 and 550,367,002,046.79
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Solution
The fourth proportional to 2,022,201,541,216.20, 3,032,995,829,079.60 and 550,367,002,046.79 is: 825,467,090,024.58
Step by Step Solution
- Step 1: Write the proportion equation
2,022,201,541,216.20 : 3,032,995,829,079.60 = 550,367,002,046.79 : x - Step 2: Convert to fraction form
2,022,201,541,216.20/3,032,995,829,079.60 = 550,367,002,046.79/x - Step 3: Cross multiply
2,022,201,541,216.20x = 3,032,995,829,079.60 × 550,367,002,046.79 - Step 4: Simplify right side
2,022,201,541,216.20x = 1,669,260,821,670,957,991,067,648 - Step 5: Solve for x
x = 1,669,260,821,670,957,991,067,648/2,022,201,541,216.20 - Step 6: Final answer
x = 825,467,090,024.58
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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.