Finding the Fourth Proportional to 1,542,044,716.97, 2,313,286,704.82 and 478,559,448.35
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Solution
The fourth proportional to 1,542,044,716.97, 2,313,286,704.82 and 478,559,448.35 is: 717,907,332.50
Step by Step Solution
- Step 1: Write the proportion equation
1,542,044,716.97 : 2,313,286,704.82 = 478,559,448.35 : x - Step 2: Convert to fraction form
1,542,044,716.97/2,313,286,704.82 = 478,559,448.35/x - Step 3: Cross multiply
1,542,044,716.97x = 2,313,286,704.82 × 478,559,448.35 - Step 4: Simplify right side
1,542,044,716.97x = 1,107,045,209,344,754,944 - Step 5: Solve for x
x = 1,107,045,209,344,754,944/1,542,044,716.97 - Step 6: Final answer
x = 717,907,332.50
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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.