Finding the Fourth Proportional to 1,512,466,526,838.20, 2,087,253,590,454.10 and 827,338,574,078.29
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Solution
The fourth proportional to 1,512,466,526,838.20, 2,087,253,590,454.10 and 827,338,574,078.29 is: 1,141,754,464,395.38
Step by Step Solution
- Step 1: Write the proportion equation
1,512,466,526,838.20 : 2,087,253,590,454.10 = 827,338,574,078.29 : x - Step 2: Convert to fraction form
1,512,466,526,838.20/2,087,253,590,454.10 = 827,338,574,078.29/x - Step 3: Cross multiply
1,512,466,526,838.20x = 2,087,253,590,454.10 × 827,338,574,078.29 - Step 4: Simplify right side
1,512,466,526,838.20x = 1,726,865,409,266,086,297,206,784 - Step 5: Solve for x
x = 1,726,865,409,266,086,297,206,784/1,512,466,526,838.20 - Step 6: Final answer
x = 1,141,754,464,395.38
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1.5x scale
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.