Finding the Fourth Proportional to 1,241,180,455,504, 1,861,770,683,256 and 1,241,180,455,504
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Solution
The fourth proportional to 1,241,180,455,504, 1,861,770,683,256 and 1,241,180,455,504 is: 1,861,770,683,256
Step by Step Solution
- Step 1: Write the proportion equation
1,241,180,455,504 : 1,861,770,683,256 = 1,241,180,455,504 : x - Step 2: Convert to fraction form
1,241,180,455,504/1,861,770,683,256 = 1,241,180,455,504/x - Step 3: Cross multiply
1,241,180,455,504x = 1,861,770,683,256 × 1,241,180,455,504 - Step 4: Simplify right side
1,241,180,455,504x = 2,310,793,384,687,675,430,141,952 - Step 5: Solve for x
x = 2,310,793,384,687,675,430,141,952/1,241,180,455,504 - Step 6: Final answer
x = 1,861,770,683,256
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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.