Finding the Fourth Proportional to 29,942,911,340,802, 41,321,186,311,374 and 16,773,995,357,176
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Solution
The fourth proportional to 29,942,911,340,802, 41,321,186,311,374 and 16,773,995,357,176 is: 23,148,096,036,857.42
Step by Step Solution
- Step 1: Write the proportion equation
29,942,911,340,802 : 41,321,186,311,374 = 16,773,995,357,176 : x - Step 2: Convert to fraction form
29,942,911,340,802/41,321,186,311,374 = 16,773,995,357,176/x - Step 3: Cross multiply
29,942,911,340,802x = 41,321,186,311,374 × 16,773,995,357,176 - Step 4: Simplify right side
29,942,911,340,802x = 693,121,387,339,991,942,869,024,768 - Step 5: Solve for x
x = 693,121,387,339,991,942,869,024,768/29,942,911,340,802 - Step 6: Final answer
x = 23,148,096,036,857.42
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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.