Finding the Fourth Proportional to 5,437,778,882,589.40, 7,504,096,683,566 and 2,968,589,754,685.80
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Solution
The fourth proportional to 5,437,778,882,589.40, 7,504,096,683,566 and 2,968,589,754,685.80 is: 4,096,633,021,311.43
Step by Step Solution
- Step 1: Write the proportion equation
5,437,778,882,589.40 : 7,504,096,683,566 = 2,968,589,754,685.80 : x - Step 2: Convert to fraction form
5,437,778,882,589.40/7,504,096,683,566 = 2,968,589,754,685.80/x - Step 3: Cross multiply
5,437,778,882,589.40x = 7,504,096,683,566 × 2,968,589,754,685.80 - Step 4: Simplify right side
5,437,778,882,589.40x = 22,276,584,533,005,717,542,535,168 - Step 5: Solve for x
x = 22,276,584,533,005,717,542,535,168/5,437,778,882,589.40 - Step 6: Final answer
x = 4,096,633,021,311.43
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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.