Finding the Fourth Proportional to 207,286,929,647.80, 310,930,394,471.70 and 207,286,929,647.80
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Solution
The fourth proportional to 207,286,929,647.80, 310,930,394,471.70 and 207,286,929,647.80 is: 310,930,394,471.70
Step by Step Solution
- Step 1: Write the proportion equation
207,286,929,647.80 : 310,930,394,471.70 = 207,286,929,647.80 : x - Step 2: Convert to fraction form
207,286,929,647.80/310,930,394,471.70 = 207,286,929,647.80/x - Step 3: Cross multiply
207,286,929,647.80x = 310,930,394,471.70 × 207,286,929,647.80 - Step 4: Simplify right side
207,286,929,647.80x = 64,451,806,804,217,977,372,672 - Step 5: Solve for x
x = 64,451,806,804,217,977,372,672/207,286,929,647.80 - Step 6: Final answer
x = 310,930,394,471.70
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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.