Finding the Fourth Proportional to 29,942,911,340,804, 41,321,186,311,376 and 16,773,995,357,178
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Solution
The fourth proportional to 29,942,911,340,804, 41,321,186,311,376 and 16,773,995,357,178 is: 23,148,096,036,859.76
Step by Step Solution
- Step 1: Write the proportion equation
29,942,911,340,804 : 41,321,186,311,376 = 16,773,995,357,178 : x - Step 2: Convert to fraction form
29,942,911,340,804/41,321,186,311,376 = 16,773,995,357,178/x - Step 3: Cross multiply
29,942,911,340,804x = 41,321,186,311,376 × 16,773,995,357,178 - Step 4: Simplify right side
29,942,911,340,804x = 693,121,387,340,108,216,223,662,080 - Step 5: Solve for x
x = 693,121,387,340,108,216,223,662,080/29,942,911,340,804 - Step 6: Final answer
x = 23,148,096,036,859.76
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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.