Finding the Fourth Proportional to 192,581,989,050.87, 288,621,689,934.16 and 107,588,350,416.24
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Solution
The fourth proportional to 192,581,989,050.87, 288,621,689,934.16 and 107,588,350,416.24 is: 161,242,137,270.49
Step by Step Solution
- Step 1: Write the proportion equation
192,581,989,050.87 : 288,621,689,934.16 = 107,588,350,416.24 : x - Step 2: Convert to fraction form
192,581,989,050.87/288,621,689,934.16 = 107,588,350,416.24/x - Step 3: Cross multiply
192,581,989,050.87x = 288,621,689,934.16 × 107,588,350,416.24 - Step 4: Simplify right side
192,581,989,050.87x = 31,052,331,514,363,771,879,424 - Step 5: Solve for x
x = 31,052,331,514,363,771,879,424/192,581,989,050.87 - Step 6: Final answer
x = 161,242,137,270.49
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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.