Finding the Fourth Proportional to 1,512,466,526,838.30, 2,087,253,590,454.20 and 827,338,574,078.42
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Solution
The fourth proportional to 1,512,466,526,838.30, 2,087,253,590,454.20 and 827,338,574,078.42 is: 1,141,754,464,395.54
Step by Step Solution
- Step 1: Write the proportion equation
1,512,466,526,838.30 : 2,087,253,590,454.20 = 827,338,574,078.42 : x - Step 2: Convert to fraction form
1,512,466,526,838.30/2,087,253,590,454.20 = 827,338,574,078.42/x - Step 3: Cross multiply
1,512,466,526,838.30x = 2,087,253,590,454.20 × 827,338,574,078.42 - Step 4: Simplify right side
1,512,466,526,838.30x = 1,726,865,409,266,440,363,573,248 - Step 5: Solve for x
x = 1,726,865,409,266,440,363,573,248/1,512,466,526,838.30 - Step 6: Final answer
x = 1,141,754,464,395.54
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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.