Finding the Fourth Proportional to 12,038,738,445,409, 18,058,107,668,114 and 12,038,738,445,409
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Solution
The fourth proportional to 12,038,738,445,409, 18,058,107,668,114 and 12,038,738,445,409 is: 18,058,107,668,114
Step by Step Solution
- Step 1: Write the proportion equation
12,038,738,445,409 : 18,058,107,668,114 = 12,038,738,445,409 : x - Step 2: Convert to fraction form
12,038,738,445,409/18,058,107,668,114 = 12,038,738,445,409/x - Step 3: Cross multiply
12,038,738,445,409x = 18,058,107,668,114 × 12,038,738,445,409 - Step 4: Simplify right side
12,038,738,445,409x = 217,396,835,035,459,091,825,688,576 - Step 5: Solve for x
x = 217,396,835,035,459,091,825,688,576/12,038,738,445,409 - Step 6: Final answer
x = 18,058,107,668,114
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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.