Finding the Fourth Proportional to 198,201,225.40, 297,301,838.10 and 129,326,471.80
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Solution
The fourth proportional to 198,201,225.40, 297,301,838.10 and 129,326,471.80 is: 193,989,707.70
Step by Step Solution
- Step 1: Write the proportion equation
198,201,225.40 : 297,301,838.10 = 129,326,471.80 : x - Step 2: Convert to fraction form
198,201,225.40/297,301,838.10 = 129,326,471.80/x - Step 3: Cross multiply
198,201,225.40x = 297,301,838.10 × 129,326,471.80 - Step 4: Simplify right side
198,201,225.40x = 38,448,997,781,127,816 - Step 5: Solve for x
x = 38,448,997,781,127,816/198,201,225.40 - Step 6: Final answer
x = 193,989,707.70
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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.