Finding the Fourth Proportional to 2,022,201,541,281.30, 3,032,995,829,177.70 and 550,367,002,112.10
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Solution
The fourth proportional to 2,022,201,541,281.30, 3,032,995,829,177.70 and 550,367,002,112.10 is: 825,467,090,122.66
Step by Step Solution
- Step 1: Write the proportion equation
2,022,201,541,281.30 : 3,032,995,829,177.70 = 550,367,002,112.10 : x - Step 2: Convert to fraction form
2,022,201,541,281.30/3,032,995,829,177.70 = 550,367,002,112.10/x - Step 3: Cross multiply
2,022,201,541,281.30x = 3,032,995,829,177.70 × 550,367,002,112.10 - Step 4: Simplify right side
2,022,201,541,281.30x = 1,669,260,821,923,033,648,201,728 - Step 5: Solve for x
x = 1,669,260,821,923,033,648,201,728/2,022,201,541,281.30 - Step 6: Final answer
x = 825,467,090,122.66
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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.