Finding the Fourth Proportional to 7,413,160,448.35, 10,230,792,351.01 and 4,198,642,276.62
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Solution
The fourth proportional to 7,413,160,448.35, 10,230,792,351.01 and 4,198,642,276.62 is: 5,794,483,687.17
Step by Step Solution
- Step 1: Write the proportion equation
7,413,160,448.35 : 10,230,792,351.01 = 4,198,642,276.62 : x - Step 2: Convert to fraction form
7,413,160,448.35/10,230,792,351.01 = 4,198,642,276.62/x - Step 3: Cross multiply
7,413,160,448.35x = 10,230,792,351.01 × 4,198,642,276.62 - Step 4: Simplify right side
7,413,160,448.35x = 42,955,437,288,308,260,864 - Step 5: Solve for x
x = 42,955,437,288,308,260,864/7,413,160,448.35 - Step 6: Final answer
x = 5,794,483,687.17
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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.