Finding the Fourth Proportional to 5,997,295,207,512, 8,993,106,987,454.20 and 2,323,293,370,684.80
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Solution
The fourth proportional to 5,997,295,207,512, 8,993,106,987,454.20 and 2,323,293,370,684.80 is: 3,483,841,485,681.89
Step by Step Solution
- Step 1: Write the proportion equation
5,997,295,207,512 : 8,993,106,987,454.20 = 2,323,293,370,684.80 : x - Step 2: Convert to fraction form
5,997,295,207,512/8,993,106,987,454.20 = 2,323,293,370,684.80/x - Step 3: Cross multiply
5,997,295,207,512x = 8,993,106,987,454.20 × 2,323,293,370,684.80 - Step 4: Simplify right side
5,997,295,207,512x = 20,893,625,845,811,492,354,523,136 - Step 5: Solve for x
x = 20,893,625,845,811,492,354,523,136/5,997,295,207,512 - Step 6: Final answer
x = 3,483,841,485,681.89
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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.