Finding the Fourth Proportional to 4,849,770,231.82, 6,692,670,331.83 and 2,706,354,418.06
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Solution
The fourth proportional to 4,849,770,231.82, 6,692,670,331.83 and 2,706,354,418.06 is: 3,734,762,072.30
Step by Step Solution
- Step 1: Write the proportion equation
4,849,770,231.82 : 6,692,670,331.83 = 2,706,354,418.06 : x - Step 2: Convert to fraction form
4,849,770,231.82/6,692,670,331.83 = 2,706,354,418.06/x - Step 3: Cross multiply
4,849,770,231.82x = 6,692,670,331.83 × 2,706,354,418.06 - Step 4: Simplify right side
4,849,770,231.82x = 18,112,737,921,167,206,400 - Step 5: Solve for x
x = 18,112,737,921,167,206,400/4,849,770,231.82 - Step 6: Final answer
x = 3,734,762,072.30
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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.