Finding the Fourth Proportional to 170,201,103,416.17, 255,301,655,124.26 and 100,544,068,664.17
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Solution
The fourth proportional to 170,201,103,416.17, 255,301,655,124.26 and 100,544,068,664.17 is: 150,816,102,996.26
Step by Step Solution
- Step 1: Write the proportion equation
170,201,103,416.17 : 255,301,655,124.26 = 100,544,068,664.17 : x - Step 2: Convert to fraction form
170,201,103,416.17/255,301,655,124.26 = 100,544,068,664.17/x - Step 3: Cross multiply
170,201,103,416.17x = 255,301,655,124.26 × 100,544,068,664.17 - Step 4: Simplify right side
170,201,103,416.17x = 25,669,067,142,889,847,390,208 - Step 5: Solve for x
x = 25,669,067,142,889,847,390,208/170,201,103,416.17 - Step 6: Final answer
x = 150,816,102,996.26
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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.