Finding the Fourth Proportional to 306,673,950,245.28, 460,020,296,857.60 and 105,212,859,453.68
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Solution
The fourth proportional to 306,673,950,245.28, 460,020,296,857.60 and 105,212,859,453.68 is: 157,822,504,325.55
Step by Step Solution
- Step 1: Write the proportion equation
306,673,950,245.28 : 460,020,296,857.60 = 105,212,859,453.68 : x - Step 2: Convert to fraction form
306,673,950,245.28/460,020,296,857.60 = 105,212,859,453.68/x - Step 3: Cross multiply
306,673,950,245.28x = 460,020,296,857.60 × 105,212,859,453.68 - Step 4: Simplify right side
306,673,950,245.28x = 48,400,050,839,118,816,477,184 - Step 5: Solve for x
x = 48,400,050,839,118,816,477,184/306,673,950,245.28 - Step 6: Final answer
x = 157,822,504,325.55
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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.