Finding the Fourth Proportional to 49,701,821,111.97, 68,588,722,602.81 and 28,000,223,936.49
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Solution
The fourth proportional to 49,701,821,111.97, 68,588,722,602.81 and 28,000,223,936.49 is: 38,640,427,039.28
Step by Step Solution
- Step 1: Write the proportion equation
49,701,821,111.97 : 68,588,722,602.81 = 28,000,223,936.49 : x - Step 2: Convert to fraction form
49,701,821,111.97/68,588,722,602.81 = 28,000,223,936.49/x - Step 3: Cross multiply
49,701,821,111.97x = 68,588,722,602.81 × 28,000,223,936.49 - Step 4: Simplify right side
49,701,821,111.97x = 1,920,499,592,396,473,368,576 - Step 5: Solve for x
x = 1,920,499,592,396,473,368,576/49,701,821,111.97 - Step 6: Final answer
x = 38,640,427,039.28
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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.