Finding the Fourth Proportional to 146,408,113,351.02, 202,032,108,329.49 and 82,166,430,504.18
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Solution
The fourth proportional to 146,408,113,351.02, 202,032,108,329.49 and 82,166,430,504.18 is: 113,383,451,290.49
Step by Step Solution
- Step 1: Write the proportion equation
146,408,113,351.02 : 202,032,108,329.49 = 82,166,430,504.18 : x - Step 2: Convert to fraction form
146,408,113,351.02/202,032,108,329.49 = 82,166,430,504.18/x - Step 3: Cross multiply
146,408,113,351.02x = 202,032,108,329.49 × 82,166,430,504.18 - Step 4: Simplify right side
146,408,113,351.02x = 16,600,257,188,668,003,844,096 - Step 5: Solve for x
x = 16,600,257,188,668,003,844,096/146,408,113,351.02 - Step 6: Final answer
x = 113,383,451,290.49
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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.