Finding the Fourth Proportional to 7,830,273,245.80, 11,745,409,868.70 and 5,503,837,124.20
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Solution
The fourth proportional to 7,830,273,245.80, 11,745,409,868.70 and 5,503,837,124.20 is: 8,255,755,686.30
Step by Step Solution
- Step 1: Write the proportion equation
7,830,273,245.80 : 11,745,409,868.70 = 5,503,837,124.20 : x - Step 2: Convert to fraction form
7,830,273,245.80/11,745,409,868.70 = 5,503,837,124.20/x - Step 3: Cross multiply
7,830,273,245.80x = 11,745,409,868.70 × 5,503,837,124.20 - Step 4: Simplify right side
7,830,273,245.80x = 64,644,822,874,296,107,008 - Step 5: Solve for x
x = 64,644,822,874,296,107,008/7,830,273,245.80 - Step 6: Final answer
x = 8,255,755,686.30
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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.