Finding the Fourth Proportional to 1,920,119,920,266.10, 2,880,349,198,480.60 and 541,735,992,489.75
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Solution
The fourth proportional to 1,920,119,920,266.10, 2,880,349,198,480.60 and 541,735,992,489.75 is: 812,651,759,552.44
Step by Step Solution
- Step 1: Write the proportion equation
1,920,119,920,266.10 : 2,880,349,198,480.60 = 541,735,992,489.75 : x - Step 2: Convert to fraction form
1,920,119,920,266.10/2,880,349,198,480.60 = 541,735,992,489.75/x - Step 3: Cross multiply
1,920,119,920,266.10x = 2,880,349,198,480.60 × 541,735,992,489.75 - Step 4: Simplify right side
1,920,119,920,266.10x = 1,560,388,831,755,943,723,139,072 - Step 5: Solve for x
x = 1,560,388,831,755,943,723,139,072/1,920,119,920,266.10 - Step 6: Final answer
x = 812,651,759,552.44
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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.