Finding the Fourth Proportional to 9,378,463,491,835.20, 12,942,593,533,746 and 5,211,882,452,907
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Solution
The fourth proportional to 9,378,463,491,835.20, 12,942,593,533,746 and 5,211,882,452,907 is: 7,192,572,236,631.76
Step by Step Solution
- Step 1: Write the proportion equation
9,378,463,491,835.20 : 12,942,593,533,746 = 5,211,882,452,907 : x - Step 2: Convert to fraction form
9,378,463,491,835.20/12,942,593,533,746 = 5,211,882,452,907/x - Step 3: Cross multiply
9,378,463,491,835.20x = 12,942,593,533,746 × 5,211,882,452,907 - Step 4: Simplify right side
9,378,463,491,835.20x = 67,455,276,133,638,378,633,560,064 - Step 5: Solve for x
x = 67,455,276,133,638,378,633,560,064/9,378,463,491,835.20 - Step 6: Final answer
x = 7,192,572,236,631.76
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.