Finding the Fourth Proportional to 207,286,929,992.80, 310,930,394,989.20 and 207,286,929,992.80
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Solution
The fourth proportional to 207,286,929,992.80, 310,930,394,989.20 and 207,286,929,992.80 is: 310,930,394,989.20
Step by Step Solution
- Step 1: Write the proportion equation
207,286,929,992.80 : 310,930,394,989.20 = 207,286,929,992.80 : x - Step 2: Convert to fraction form
207,286,929,992.80/310,930,394,989.20 = 207,286,929,992.80/x - Step 3: Cross multiply
207,286,929,992.80x = 310,930,394,989.20 × 207,286,929,992.80 - Step 4: Simplify right side
207,286,929,992.80x = 64,451,807,018,759,948,861,440 - Step 5: Solve for x
x = 64,451,807,018,759,948,861,440/207,286,929,992.80 - Step 6: Final answer
x = 310,930,394,989.20
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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.