Finding the Fourth Proportional to 8,013,389,616,096, 12,020,084,424,143 and 8,013,389,616,096
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Solution
The fourth proportional to 8,013,389,616,096, 12,020,084,424,143 and 8,013,389,616,096 is: 12,020,084,424,143
Step by Step Solution
- Step 1: Write the proportion equation
8,013,389,616,096 : 12,020,084,424,143 = 8,013,389,616,096 : x - Step 2: Convert to fraction form
8,013,389,616,096/12,020,084,424,143 = 8,013,389,616,096/x - Step 3: Cross multiply
8,013,389,616,096x = 12,020,084,424,143 × 8,013,389,616,096 - Step 4: Simplify right side
8,013,389,616,096x = 96,321,619,709,024,787,880,738,816 - Step 5: Solve for x
x = 96,321,619,709,024,787,880,738,816/8,013,389,616,096 - Step 6: Final answer
x = 12,020,084,424,143
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1.5x scale
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.