Finding the Fourth Proportional to 776,268,435,310.27, 1,164,426,374,537.40 and 266,320,049,233.99
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Solution
The fourth proportional to 776,268,435,310.27, 1,164,426,374,537.40 and 266,320,049,233.99 is: 399,488,212,182.95
Step by Step Solution
- Step 1: Write the proportion equation
776,268,435,310.27 : 1,164,426,374,537.40 = 266,320,049,233.99 : x - Step 2: Convert to fraction form
776,268,435,310.27/1,164,426,374,537.40 = 266,320,049,233.99/x - Step 3: Cross multiply
776,268,435,310.27x = 1,164,426,374,537.40 × 266,320,049,233.99 - Step 4: Simplify right side
776,268,435,310.27x = 310,110,089,396,156,782,084,096 - Step 5: Solve for x
x = 310,110,089,396,156,782,084,096/776,268,435,310.27 - Step 6: Final answer
x = 399,488,212,182.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.