Finding the Fourth Proportional to 738,049,373,176.40, 1,106,962,201,790.70 and 200,869,193,801.30
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Solution
The fourth proportional to 738,049,373,176.40, 1,106,962,201,790.70 and 200,869,193,801.30 is: 301,273,347,181.70
Step by Step Solution
- Step 1: Write the proportion equation
738,049,373,176.40 : 1,106,962,201,790.70 = 200,869,193,801.30 : x - Step 2: Convert to fraction form
738,049,373,176.40/1,106,962,201,790.70 = 200,869,193,801.30/x - Step 3: Cross multiply
738,049,373,176.40x = 1,106,962,201,790.70 × 200,869,193,801.30 - Step 4: Simplify right side
738,049,373,176.40x = 222,354,605,042,209,862,451,200 - Step 5: Solve for x
x = 222,354,605,042,209,862,451,200/738,049,373,176.40 - Step 6: Final answer
x = 301,273,347,181.70
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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.