Finding the Fourth Proportional to 11,810,216,883,724, 17,803,845,325,270 and 11,022,944,550,784
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Solution
The fourth proportional to 11,810,216,883,724, 17,803,845,325,270 and 11,022,944,550,784 is: 16,617,036,058,130.74
Step by Step Solution
- Step 1: Write the proportion equation
11,810,216,883,724 : 17,803,845,325,270 = 11,022,944,550,784 : x - Step 2: Convert to fraction form
11,810,216,883,724/17,803,845,325,270 = 11,022,944,550,784/x - Step 3: Cross multiply
11,810,216,883,724x = 17,803,845,325,270 × 11,022,944,550,784 - Step 4: Simplify right side
11,810,216,883,724x = 196,250,799,811,186,134,785,982,464 - Step 5: Solve for x
x = 196,250,799,811,186,134,785,982,464/11,810,216,883,724 - Step 6: Final answer
x = 16,617,036,058,130.74
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.