Finding the Fourth Proportional to 207,286,930,000.55, 310,930,395,000.82 and 207,286,930,000.55
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Solution
The fourth proportional to 207,286,930,000.55, 310,930,395,000.82 and 207,286,930,000.55 is: 310,930,395,000.82
Step by Step Solution
- Step 1: Write the proportion equation
207,286,930,000.55 : 310,930,395,000.82 = 207,286,930,000.55 : x - Step 2: Convert to fraction form
207,286,930,000.55/310,930,395,000.82 = 207,286,930,000.55/x - Step 3: Cross multiply
207,286,930,000.55x = 310,930,395,000.82 × 207,286,930,000.55 - Step 4: Simplify right side
207,286,930,000.55x = 64,451,807,023,578,331,742,208 - Step 5: Solve for x
x = 64,451,807,023,578,331,742,208/207,286,930,000.55 - Step 6: Final answer
x = 310,930,395,000.82
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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.