Finding the Fourth Proportional to 5,450,180,462.25, 8,175,270,704.36 and 1,309,623,991.53
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Solution
The fourth proportional to 5,450,180,462.25, 8,175,270,704.36 and 1,309,623,991.53 is: 1,964,435,989.93
Step by Step Solution
- Step 1: Write the proportion equation
5,450,180,462.25 : 8,175,270,704.36 = 1,309,623,991.53 : x - Step 2: Convert to fraction form
5,450,180,462.25/8,175,270,704.36 = 1,309,623,991.53/x - Step 3: Cross multiply
5,450,180,462.25x = 8,175,270,704.36 × 1,309,623,991.53 - Step 4: Simplify right side
5,450,180,462.25x = 10,706,530,651,645,419,520 - Step 5: Solve for x
x = 10,706,530,651,645,419,520/5,450,180,462.25 - Step 6: Final answer
x = 1,964,435,989.93
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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.