Finding the Fourth Proportional to 206,876,716,743.70, 310,315,075,115.55 and 206,876,716,743.70
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Solution
The fourth proportional to 206,876,716,743.70, 310,315,075,115.55 and 206,876,716,743.70 is: 310,315,075,115.55
Step by Step Solution
- Step 1: Write the proportion equation
206,876,716,743.70 : 310,315,075,115.55 = 206,876,716,743.70 : x - Step 2: Convert to fraction form
206,876,716,743.70/310,315,075,115.55 = 206,876,716,743.70/x - Step 3: Cross multiply
206,876,716,743.70x = 310,315,075,115.55 × 206,876,716,743.70 - Step 4: Simplify right side
206,876,716,743.70x = 64,196,963,895,979,624,366,080 - Step 5: Solve for x
x = 64,196,963,895,979,624,366,080/206,876,716,743.70 - Step 6: Final answer
x = 310,315,075,115.55
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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.