Finding the Fourth Proportional to 463,574,016,163.70, 695,361,024,245.55 and 450,513,322,147.70
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Solution
The fourth proportional to 463,574,016,163.70, 695,361,024,245.55 and 450,513,322,147.70 is: 675,769,983,221.55
Step by Step Solution
- Step 1: Write the proportion equation
463,574,016,163.70 : 695,361,024,245.55 = 450,513,322,147.70 : x - Step 2: Convert to fraction form
463,574,016,163.70/695,361,024,245.55 = 450,513,322,147.70/x - Step 3: Cross multiply
463,574,016,163.70x = 695,361,024,245.55 × 450,513,322,147.70 - Step 4: Simplify right side
463,574,016,163.70x = 313,269,405,124,890,137,198,592 - Step 5: Solve for x
x = 313,269,405,124,890,137,198,592/463,574,016,163.70 - Step 6: Final answer
x = 675,769,983,221.55
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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.