Finding the Fourth Proportional to 980,138,497.20, 1,470,207,745.80 and 980,138,497.20
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Solution
The fourth proportional to 980,138,497.20, 1,470,207,745.80 and 980,138,497.20 is: 1,470,207,745.80
Step by Step Solution
- Step 1: Write the proportion equation
980,138,497.20 : 1,470,207,745.80 = 980,138,497.20 : x - Step 2: Convert to fraction form
980,138,497.20/1,470,207,745.80 = 980,138,497.20/x - Step 3: Cross multiply
980,138,497.20x = 1,470,207,745.80 × 980,138,497.20 - Step 4: Simplify right side
980,138,497.20x = 1,441,007,210,540,211,712 - Step 5: Solve for x
x = 1,441,007,210,540,211,712/980,138,497.20 - Step 6: Final answer
x = 1,470,207,745.80
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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.