Finding the Fourth Proportional to 3,625,348,342,440, 5,435,341,627,396.40 and 2,192,437,676,268.40
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Solution
The fourth proportional to 3,625,348,342,440, 5,435,341,627,396.40 and 2,192,437,676,268.40 is: 3,287,035,242,321.98
Step by Step Solution
- Step 1: Write the proportion equation
3,625,348,342,440 : 5,435,341,627,396.40 = 2,192,437,676,268.40 : x - Step 2: Convert to fraction form
3,625,348,342,440/5,435,341,627,396.40 = 2,192,437,676,268.40/x - Step 3: Cross multiply
3,625,348,342,440x = 5,435,341,627,396.40 × 2,192,437,676,268.40 - Step 4: Simplify right side
3,625,348,342,440x = 11,916,647,767,293,867,098,898,432 - Step 5: Solve for x
x = 11,916,647,767,293,867,098,898,432/3,625,348,342,440 - Step 6: Final answer
x = 3,287,035,242,321.98
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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.