Finding the Fourth Proportional to 980,165,066.80, 1,470,247,600.20 and 758,235,305.20
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Solution
The fourth proportional to 980,165,066.80, 1,470,247,600.20 and 758,235,305.20 is: 1,137,352,957.80
Step by Step Solution
- Step 1: Write the proportion equation
980,165,066.80 : 1,470,247,600.20 = 758,235,305.20 : x - Step 2: Convert to fraction form
980,165,066.80/1,470,247,600.20 = 758,235,305.20/x - Step 3: Cross multiply
980,165,066.80x = 1,470,247,600.20 × 758,235,305.20 - Step 4: Simplify right side
980,165,066.80x = 1,114,793,637,857,214,720 - Step 5: Solve for x
x = 1,114,793,637,857,214,720/980,165,066.80 - Step 6: Final answer
x = 1,137,352,957.80
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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.