Finding the Fourth Proportional to 298,731,881,288.40, 412,251,238,235.76 and 161,554,707,516
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Solution
The fourth proportional to 298,731,881,288.40, 412,251,238,235.76 and 161,554,707,516 is: 222,946,168,079.03
Step by Step Solution
- Step 1: Write the proportion equation
298,731,881,288.40 : 412,251,238,235.76 = 161,554,707,516 : x - Step 2: Convert to fraction form
298,731,881,288.40/412,251,238,235.76 = 161,554,707,516/x - Step 3: Cross multiply
298,731,881,288.40x = 412,251,238,235.76 × 161,554,707,516 - Step 4: Simplify right side
298,731,881,288.40x = 66,601,128,216,287,040,765,952 - Step 5: Solve for x
x = 66,601,128,216,287,040,765,952/298,731,881,288.40 - Step 6: Final answer
x = 222,946,168,079.03
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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.