Finding the Fourth Proportional to 1,313,093,315.23, 1,969,637,544.29 and 427,777,617.81
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Solution
The fourth proportional to 1,313,093,315.23, 1,969,637,544.29 and 427,777,617.81 is: 641,665,635.54
Step by Step Solution
- Step 1: Write the proportion equation
1,313,093,315.23 : 1,969,637,544.29 = 427,777,617.81 : x - Step 2: Convert to fraction form
1,313,093,315.23/1,969,637,544.29 = 427,777,617.81/x - Step 3: Cross multiply
1,313,093,315.23x = 1,969,637,544.29 × 427,777,617.81 - Step 4: Simplify right side
1,313,093,315.23x = 842,566,856,642,861,440 - Step 5: Solve for x
x = 842,566,856,642,861,440/1,313,093,315.23 - Step 6: Final answer
x = 641,665,635.54
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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.