Finding the Fourth Proportional to 1,767,351,509, 2,651,040,549.53 and 784,513,823.82
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Solution
The fourth proportional to 1,767,351,509, 2,651,040,549.53 and 784,513,823.82 is: 1,176,776,633.29
Step by Step Solution
- Step 1: Write the proportion equation
1,767,351,509 : 2,651,040,549.53 = 784,513,823.82 : x - Step 2: Convert to fraction form
1,767,351,509/2,651,040,549.53 = 784,513,823.82/x - Step 3: Cross multiply
1,767,351,509x = 2,651,040,549.53 × 784,513,823.82 - Step 4: Simplify right side
1,767,351,509x = 2,079,777,958,609,732,096 - Step 5: Solve for x
x = 2,079,777,958,609,732,096/1,767,351,509 - Step 6: Final answer
x = 1,176,776,633.29
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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.