Finding the Fourth Proportional to 776,268,435,321.26, 1,164,426,374,554 and 266,320,049,245
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Solution
The fourth proportional to 776,268,435,321.26, 1,164,426,374,554 and 266,320,049,245 is: 399,488,212,199.51
Step by Step Solution
- Step 1: Write the proportion equation
776,268,435,321.26 : 1,164,426,374,554 = 266,320,049,245 : x - Step 2: Convert to fraction form
776,268,435,321.26/1,164,426,374,554 = 266,320,049,245/x - Step 3: Cross multiply
776,268,435,321.26x = 1,164,426,374,554 × 266,320,049,245 - Step 4: Simplify right side
776,268,435,321.26x = 310,110,089,413,398,122,987,520 - Step 5: Solve for x
x = 310,110,089,413,398,122,987,520/776,268,435,321.26 - Step 6: Final answer
x = 399,488,212,199.51
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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.