Finding the Fourth Proportional to 106,184,419,876.66, 146,534,558,221.87 and 57,355,240,122.99
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Solution
The fourth proportional to 106,184,419,876.66, 146,534,558,221.87 and 57,355,240,122.99 is: 79,150,263,126.12
Step by Step Solution
- Step 1: Write the proportion equation
106,184,419,876.66 : 146,534,558,221.87 = 57,355,240,122.99 : x - Step 2: Convert to fraction form
106,184,419,876.66/146,534,558,221.87 = 57,355,240,122.99/x - Step 3: Cross multiply
106,184,419,876.66x = 146,534,558,221.87 × 57,355,240,122.99 - Step 4: Simplify right side
106,184,419,876.66x = 8,404,524,773,131,611,537,408 - Step 5: Solve for x
x = 8,404,524,773,131,611,537,408/106,184,419,876.66 - Step 6: Final answer
x = 79,150,263,126.12
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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.