Finding the Fourth Proportional to 12,038,733,216,651, 18,058,099,824,976 and 12,038,733,216,651
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Solution
The fourth proportional to 12,038,733,216,651, 18,058,099,824,976 and 12,038,733,216,651 is: 18,058,099,824,976
Step by Step Solution
- Step 1: Write the proportion equation
12,038,733,216,651 : 18,058,099,824,976 = 12,038,733,216,651 : x - Step 2: Convert to fraction form
12,038,733,216,651/18,058,099,824,976 = 12,038,733,216,651/x - Step 3: Cross multiply
12,038,733,216,651x = 18,058,099,824,976 × 12,038,733,216,651 - Step 4: Simplify right side
12,038,733,216,651x = 217,396,646,192,538,185,914,908,672 - Step 5: Solve for x
x = 217,396,646,192,538,185,914,908,672/12,038,733,216,651 - Step 6: Final answer
x = 18,058,099,824,976
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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.