Finding the Fourth Proportional to 277,213,478,753.73, 382,556,846,850.49 and 153,616,682,606.19
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Solution
The fourth proportional to 277,213,478,753.73, 382,556,846,850.49 and 153,616,682,606.19 is: 211,992,266,702.39
Step by Step Solution
- Step 1: Write the proportion equation
277,213,478,753.73 : 382,556,846,850.49 = 153,616,682,606.19 : x - Step 2: Convert to fraction form
277,213,478,753.73/382,556,846,850.49 = 153,616,682,606.19/x - Step 3: Cross multiply
277,213,478,753.73x = 382,556,846,850.49 × 153,616,682,606.19 - Step 4: Simplify right side
277,213,478,753.73x = 58,767,113,721,456,560,701,440 - Step 5: Solve for x
x = 58,767,113,721,456,560,701,440/277,213,478,753.73 - Step 6: Final answer
x = 211,992,266,702.39
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1.5x scale
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.