Finding the Fourth Proportional to 5,214,202,202.44, 7,195,735,414.14 and 2,835,479,262.16
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Solution
The fourth proportional to 5,214,202,202.44, 7,195,735,414.14 and 2,835,479,262.16 is: 3,913,035,542.28
Step by Step Solution
- Step 1: Write the proportion equation
5,214,202,202.44 : 7,195,735,414.14 = 2,835,479,262.16 : x - Step 2: Convert to fraction form
5,214,202,202.44/7,195,735,414.14 = 2,835,479,262.16/x - Step 3: Cross multiply
5,214,202,202.44x = 7,195,735,414.14 × 2,835,479,262.16 - Step 4: Simplify right side
5,214,202,202.44x = 20,403,358,542,784,270,336 - Step 5: Solve for x
x = 20,403,358,542,784,270,336/5,214,202,202.44 - Step 6: Final answer
x = 3,913,035,542.28
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1.5x scale
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.