Finding the Fourth Proportional to 151,718,950,283.68, 227,592,414,771.51 and 49,616,073,252.02
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Solution
The fourth proportional to 151,718,950,283.68, 227,592,414,771.51 and 49,616,073,252.02 is: 74,428,684,760.83
Step by Step Solution
- Step 1: Write the proportion equation
151,718,950,283.68 : 227,592,414,771.51 = 49,616,073,252.02 : x - Step 2: Convert to fraction form
151,718,950,283.68/227,592,414,771.51 = 49,616,073,252.02/x - Step 3: Cross multiply
151,718,950,283.68x = 227,592,414,771.51 × 49,616,073,252.02 - Step 4: Simplify right side
151,718,950,283.68x = 11,292,241,922,907,588,001,792 - Step 5: Solve for x
x = 11,292,241,922,907,588,001,792/151,718,950,283.68 - Step 6: Final answer
x = 74,428,684,760.83
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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.