Finding the Fourth Proportional to 3,747,256,089,431.80, 5,169,310,240,125.60 and 2,447,374,147,778
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Solution
The fourth proportional to 3,747,256,089,431.80, 5,169,310,240,125.60 and 2,447,374,147,778 is: 3,376,133,347,066.17
Step by Step Solution
- Step 1: Write the proportion equation
3,747,256,089,431.80 : 5,169,310,240,125.60 = 2,447,374,147,778 : x - Step 2: Convert to fraction form
3,747,256,089,431.80/5,169,310,240,125.60 = 2,447,374,147,778/x - Step 3: Cross multiply
3,747,256,089,431.80x = 5,169,310,240,125.60 × 2,447,374,147,778 - Step 4: Simplify right side
3,747,256,089,431.80x = 12,651,236,243,527,478,263,414,784 - Step 5: Solve for x
x = 12,651,236,243,527,478,263,414,784/3,747,256,089,431.80 - Step 6: Final answer
x = 3,376,133,347,066.17
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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.