Finding the Fourth Proportional to 11,569,536,820,473, 15,965,963,418,320 and 6,366,965,489,468.20
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Solution
The fourth proportional to 11,569,536,820,473, 15,965,963,418,320 and 6,366,965,489,468.20 is: 8,786,413,809,641.10
Step by Step Solution
- Step 1: Write the proportion equation
11,569,536,820,473 : 15,965,963,418,320 = 6,366,965,489,468.20 : x - Step 2: Convert to fraction form
11,569,536,820,473/15,965,963,418,320 = 6,366,965,489,468.20/x - Step 3: Cross multiply
11,569,536,820,473x = 15,965,963,418,320 × 6,366,965,489,468.20 - Step 4: Simplify right side
11,569,536,820,473x = 101,654,738,090,555,177,172,992,000 - Step 5: Solve for x
x = 101,654,738,090,555,177,172,992,000/11,569,536,820,473 - Step 6: Final answer
x = 8,786,413,809,641.10
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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.