Finding the Fourth Proportional to 11,569,536,779,625, 15,965,963,362,027 and 6,366,965,448,594.80
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Solution
The fourth proportional to 11,569,536,779,625, 15,965,963,362,027 and 6,366,965,448,594.80 is: 8,786,413,753,278.31
Step by Step Solution
- Step 1: Write the proportion equation
11,569,536,779,625 : 15,965,963,362,027 = 6,366,965,448,594.80 : x - Step 2: Convert to fraction form
11,569,536,779,625/15,965,963,362,027 = 6,366,965,448,594.80/x - Step 3: Cross multiply
11,569,536,779,625x = 15,965,963,362,027 × 6,366,965,448,594.80 - Step 4: Simplify right side
11,569,536,779,625x = 101,654,737,079,556,382,916,608,000 - Step 5: Solve for x
x = 101,654,737,079,556,382,916,608,000/11,569,536,779,625 - Step 6: Final answer
x = 8,786,413,753,278.31
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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.