Finding the Fourth Proportional to 55,233,016,858,005, 76,222,038,591,316 and 31,503,237,585,431
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Solution
The fourth proportional to 55,233,016,858,005, 76,222,038,591,316 and 31,503,237,585,431 is: 43,474,738,980,152.28
Step by Step Solution
- Step 1: Write the proportion equation
55,233,016,858,005 : 76,222,038,591,316 = 31,503,237,585,431 : x - Step 2: Convert to fraction form
55,233,016,858,005/76,222,038,591,316 = 31,503,237,585,431/x - Step 3: Cross multiply
55,233,016,858,005x = 76,222,038,591,316 × 31,503,237,585,431 - Step 4: Simplify right side
55,233,016,858,005x = 2,401,240,990,988,118,227,668,697,088 - Step 5: Solve for x
x = 2,401,240,990,988,118,227,668,697,088/55,233,016,858,005 - Step 6: Final answer
x = 43,474,738,980,152.28
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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.