Finding the Fourth Proportional to 12,346,616,492,831, 18,522,034,653,660 and 5,090,152,205,573
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Solution
The fourth proportional to 12,346,616,492,831, 18,522,034,653,660 and 5,090,152,205,573 is: 7,636,098,164,932.08
Step by Step Solution
- Step 1: Write the proportion equation
12,346,616,492,831 : 18,522,034,653,660 = 5,090,152,205,573 : x - Step 2: Convert to fraction form
12,346,616,492,831/18,522,034,653,660 = 5,090,152,205,573/x - Step 3: Cross multiply
12,346,616,492,831x = 18,522,034,653,660 × 5,090,152,205,573 - Step 4: Simplify right side
12,346,616,492,831x = 94,279,975,544,026,992,090,284,032 - Step 5: Solve for x
x = 94,279,975,544,026,992,090,284,032/12,346,616,492,831 - Step 6: Final answer
x = 7,636,098,164,932.08
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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.