Finding the Fourth Proportional to 47,233,131,279,523, 70,772,328,033,662 and 25,155,355,143,751
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Solution
The fourth proportional to 47,233,131,279,523, 70,772,328,033,662 and 25,155,355,143,751 is: 37,691,827,702,488.74
Step by Step Solution
- Step 1: Write the proportion equation
47,233,131,279,523 : 70,772,328,033,662 = 25,155,355,143,751 : x - Step 2: Convert to fraction form
47,233,131,279,523/70,772,328,033,662 = 25,155,355,143,751/x - Step 3: Cross multiply
47,233,131,279,523x = 70,772,328,033,662 × 25,155,355,143,751 - Step 4: Simplify right side
47,233,131,279,523x = 1,780,303,046,036,812,482,398,388,224 - Step 5: Solve for x
x = 1,780,303,046,036,812,482,398,388,224/47,233,131,279,523 - Step 6: Final answer
x = 37,691,827,702,488.74
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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.