Finding the Fourth Proportional to 198,640,512,030.20, 297,960,768,045.30 and 177,090,366,903.80
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Solution
The fourth proportional to 198,640,512,030.20, 297,960,768,045.30 and 177,090,366,903.80 is: 265,635,550,355.70
Step by Step Solution
- Step 1: Write the proportion equation
198,640,512,030.20 : 297,960,768,045.30 = 177,090,366,903.80 : x - Step 2: Convert to fraction form
198,640,512,030.20/297,960,768,045.30 = 177,090,366,903.80/x - Step 3: Cross multiply
198,640,512,030.20x = 297,960,768,045.30 × 177,090,366,903.80 - Step 4: Simplify right side
198,640,512,030.20x = 52,765,981,736,080,219,570,176 - Step 5: Solve for x
x = 52,765,981,736,080,219,570,176/198,640,512,030.20 - Step 6: Final answer
x = 265,635,550,355.70
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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.