Finding the Fourth Proportional to 2,022,201,541,197.80, 3,032,995,829,052.20 and 550,367,002,028.48
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Solution
The fourth proportional to 2,022,201,541,197.80, 3,032,995,829,052.20 and 550,367,002,028.48 is: 825,467,089,997.17
Step by Step Solution
- Step 1: Write the proportion equation
2,022,201,541,197.80 : 3,032,995,829,052.20 = 550,367,002,028.48 : x - Step 2: Convert to fraction form
2,022,201,541,197.80/3,032,995,829,052.20 = 550,367,002,028.48/x - Step 3: Cross multiply
2,022,201,541,197.80x = 3,032,995,829,052.20 × 550,367,002,028.48 - Step 4: Simplify right side
2,022,201,541,197.80x = 1,669,260,821,600,343,628,447,744 - Step 5: Solve for x
x = 1,669,260,821,600,343,628,447,744/2,022,201,541,197.80 - Step 6: Final answer
x = 825,467,089,997.17
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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.