Finding the Fourth Proportional to 739,331,144,213.75, 1,020,276,205,214.10 and 414,172,724,865
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Solution
The fourth proportional to 739,331,144,213.75, 1,020,276,205,214.10 and 414,172,724,865 is: 571,557,926,831.06
Step by Step Solution
- Step 1: Write the proportion equation
739,331,144,213.75 : 1,020,276,205,214.10 = 414,172,724,865 : x - Step 2: Convert to fraction form
739,331,144,213.75/1,020,276,205,214.10 = 414,172,724,865/x - Step 3: Cross multiply
739,331,144,213.75x = 1,020,276,205,214.10 × 414,172,724,865 - Step 4: Simplify right side
739,331,144,213.75x = 422,570,576,028,445,718,872,064 - Step 5: Solve for x
x = 422,570,576,028,445,718,872,064/739,331,144,213.75 - Step 6: Final answer
x = 571,557,926,831.06
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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.