Finding the Fourth Proportional to 2,945,723,763,321.70, 4,064,509,221,704 and 1,644,880,776,717.30
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Solution
The fourth proportional to 2,945,723,763,321.70, 4,064,509,221,704 and 1,644,880,776,717.30 is: 2,269,606,257,319.99
Step by Step Solution
- Step 1: Write the proportion equation
2,945,723,763,321.70 : 4,064,509,221,704 = 1,644,880,776,717.30 : x - Step 2: Convert to fraction form
2,945,723,763,321.70/4,064,509,221,704 = 1,644,880,776,717.30/x - Step 3: Cross multiply
2,945,723,763,321.70x = 4,064,509,221,704 × 1,644,880,776,717.30 - Step 4: Simplify right side
2,945,723,763,321.70x = 6,685,633,085,571,104,682,016,768 - Step 5: Solve for x
x = 6,685,633,085,571,104,682,016,768/2,945,723,763,321.70 - Step 6: Final answer
x = 2,269,606,257,319.99
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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.