Finding the Fourth Proportional to 5,997,295,207,524, 8,993,106,987,471.40 and 2,323,293,370,696.80
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Solution
The fourth proportional to 5,997,295,207,524, 8,993,106,987,471.40 and 2,323,293,370,696.80 is: 3,483,841,485,699.58
Step by Step Solution
- Step 1: Write the proportion equation
5,997,295,207,524 : 8,993,106,987,471.40 = 2,323,293,370,696.80 : x - Step 2: Convert to fraction form
5,997,295,207,524/8,993,106,987,471.40 = 2,323,293,370,696.80/x - Step 3: Cross multiply
5,997,295,207,524x = 8,993,106,987,471.40 × 2,323,293,370,696.80 - Step 4: Simplify right side
5,997,295,207,524x = 20,893,625,845,959,372,373,491,712 - Step 5: Solve for x
x = 20,893,625,845,959,372,373,491,712/5,997,295,207,524 - Step 6: Final answer
x = 3,483,841,485,699.58
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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.