Finding the Fourth Proportional to 980,165,109.80, 1,470,247,664.70 and 758,235,348.20
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Solution
The fourth proportional to 980,165,109.80, 1,470,247,664.70 and 758,235,348.20 is: 1,137,353,022.30
Step by Step Solution
- Step 1: Write the proportion equation
980,165,109.80 : 1,470,247,664.70 = 758,235,348.20 : x - Step 2: Convert to fraction form
980,165,109.80/1,470,247,664.70 = 758,235,348.20/x - Step 3: Cross multiply
980,165,109.80x = 1,470,247,664.70 × 758,235,348.20 - Step 4: Simplify right side
980,165,109.80x = 1,114,793,749,984,041,472 - Step 5: Solve for x
x = 1,114,793,749,984,041,472/980,165,109.80 - Step 6: Final answer
x = 1,137,353,022.30
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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.