Finding the Fourth Proportional to 146,408,113,351.77, 202,032,108,330.52 and 82,166,430,504.93
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Solution
The fourth proportional to 146,408,113,351.77, 202,032,108,330.52 and 82,166,430,504.93 is: 113,383,451,291.52
Step by Step Solution
- Step 1: Write the proportion equation
146,408,113,351.77 : 202,032,108,330.52 = 82,166,430,504.93 : x - Step 2: Convert to fraction form
146,408,113,351.77/202,032,108,330.52 = 82,166,430,504.93/x - Step 3: Cross multiply
146,408,113,351.77x = 202,032,108,330.52 × 82,166,430,504.93 - Step 4: Simplify right side
146,408,113,351.77x = 16,600,257,188,904,157,839,360 - Step 5: Solve for x
x = 16,600,257,188,904,157,839,360/146,408,113,351.77 - Step 6: Final answer
x = 113,383,451,291.52
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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.