Finding the Fourth Proportional to 5,504,686,106.78, 8,257,029,160.17 and 5,504,686,106.78
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Solution
The fourth proportional to 5,504,686,106.78, 8,257,029,160.17 and 5,504,686,106.78 is: 8,257,029,160.17
Step by Step Solution
- Step 1: Write the proportion equation
5,504,686,106.78 : 8,257,029,160.17 = 5,504,686,106.78 : x - Step 2: Convert to fraction form
5,504,686,106.78/8,257,029,160.17 = 5,504,686,106.78/x - Step 3: Cross multiply
5,504,686,106.78x = 8,257,029,160.17 × 5,504,686,106.78 - Step 4: Simplify right side
5,504,686,106.78x = 45,452,353,701,223,841,792 - Step 5: Solve for x
x = 45,452,353,701,223,841,792/5,504,686,106.78 - Step 6: Final answer
x = 8,257,029,160.17
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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.