Finding the Fourth Proportional to 135,192,283,267.23, 202,745,370,437.73 and 44,412,627,859.11
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Solution
The fourth proportional to 135,192,283,267.23, 202,745,370,437.73 and 44,412,627,859.11 is: 66,604,797,772.44
Step by Step Solution
- Step 1: Write the proportion equation
135,192,283,267.23 : 202,745,370,437.73 = 44,412,627,859.11 : x - Step 2: Convert to fraction form
135,192,283,267.23/202,745,370,437.73 = 44,412,627,859.11/x - Step 3: Cross multiply
135,192,283,267.23x = 202,745,370,437.73 × 44,412,627,859.11 - Step 4: Simplify right side
135,192,283,267.23x = 9,004,454,687,408,305,209,344 - Step 5: Solve for x
x = 9,004,454,687,408,305,209,344/135,192,283,267.23 - Step 6: Final answer
x = 66,604,797,772.44
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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.