Finding the Fourth Proportional to 47,233,131,279,516, 70,772,328,033,652 and 25,155,355,143,744
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Solution
The fourth proportional to 47,233,131,279,516, 70,772,328,033,652 and 25,155,355,143,744 is: 37,691,827,702,478.52
Step by Step Solution
- Step 1: Write the proportion equation
47,233,131,279,516 : 70,772,328,033,652 = 25,155,355,143,744 : x - Step 2: Convert to fraction form
47,233,131,279,516/70,772,328,033,652 = 25,155,355,143,744/x - Step 3: Cross multiply
47,233,131,279,516x = 70,772,328,033,652 × 25,155,355,143,744 - Step 4: Simplify right side
47,233,131,279,516x = 1,780,303,046,036,065,639,125,221,376 - Step 5: Solve for x
x = 1,780,303,046,036,065,639,125,221,376/47,233,131,279,516 - Step 6: Final answer
x = 37,691,827,702,478.52
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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.