Finding the Fourth Proportional to 12,781,446,113.70, 19,172,169,170.55 and 9,682,082,201.70
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Solution
The fourth proportional to 12,781,446,113.70, 19,172,169,170.55 and 9,682,082,201.70 is: 14,523,123,302.55
Step by Step Solution
- Step 1: Write the proportion equation
12,781,446,113.70 : 19,172,169,170.55 = 9,682,082,201.70 : x - Step 2: Convert to fraction form
12,781,446,113.70/19,172,169,170.55 = 9,682,082,201.70/x - Step 3: Cross multiply
12,781,446,113.70x = 19,172,169,170.55 × 9,682,082,201.70 - Step 4: Simplify right side
12,781,446,113.70x = 185,626,517,894,163,628,032 - Step 5: Solve for x
x = 185,626,517,894,163,628,032/12,781,446,113.70 - Step 6: Final answer
x = 14,523,123,302.55
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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.