Finding the Fourth Proportional to 24,526,612,177.24, 36,789,918,266.22 and 7,740,124,764.52
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Solution
The fourth proportional to 24,526,612,177.24, 36,789,918,266.22 and 7,740,124,764.52 is: 11,610,187,146.89
Step by Step Solution
- Step 1: Write the proportion equation
24,526,612,177.24 : 36,789,918,266.22 = 7,740,124,764.52 : x - Step 2: Convert to fraction form
24,526,612,177.24/36,789,918,266.22 = 7,740,124,764.52/x - Step 3: Cross multiply
24,526,612,177.24x = 36,789,918,266.22 × 7,740,124,764.52 - Step 4: Simplify right side
24,526,612,177.24x = 284,758,557,457,036,148,736 - Step 5: Solve for x
x = 284,758,557,457,036,148,736/24,526,612,177.24 - Step 6: Final answer
x = 11,610,187,146.89
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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.