Finding the Fourth Proportional to 6,796,566,144,080.70, 10,194,849,216,122 and 6,796,566,144,080.70
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Solution
The fourth proportional to 6,796,566,144,080.70, 10,194,849,216,122 and 6,796,566,144,080.70 is: 10,194,849,216,122
Step by Step Solution
- Step 1: Write the proportion equation
6,796,566,144,080.70 : 10,194,849,216,122 = 6,796,566,144,080.70 : x - Step 2: Convert to fraction form
6,796,566,144,080.70/10,194,849,216,122 = 6,796,566,144,080.70/x - Step 3: Cross multiply
6,796,566,144,080.70x = 10,194,849,216,122 × 6,796,566,144,080.70 - Step 4: Simplify right side
6,796,566,144,080.70x = 69,289,967,026,302,448,400,596,992 - Step 5: Solve for x
x = 69,289,967,026,302,448,400,596,992/6,796,566,144,080.70 - Step 6: Final answer
x = 10,194,849,216,122
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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.