Finding the Fourth Proportional to 780,276,048.20, 1,170,414,072.30 and 320,544,153.80
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Solution
The fourth proportional to 780,276,048.20, 1,170,414,072.30 and 320,544,153.80 is: 480,816,230.70
Step by Step Solution
- Step 1: Write the proportion equation
780,276,048.20 : 1,170,414,072.30 = 320,544,153.80 : x - Step 2: Convert to fraction form
780,276,048.20/1,170,414,072.30 = 320,544,153.80/x - Step 3: Cross multiply
780,276,048.20x = 1,170,414,072.30 × 320,544,153.80 - Step 4: Simplify right side
780,276,048.20x = 375,169,388,401,015,488 - Step 5: Solve for x
x = 375,169,388,401,015,488/780,276,048.20 - Step 6: Final answer
x = 480,816,230.70
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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.