Finding the Fourth Proportional to 13,412,167,848,002, 20,118,251,772,004 and 13,412,167,848,002
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Solution
The fourth proportional to 13,412,167,848,002, 20,118,251,772,004 and 13,412,167,848,002 is: 20,118,251,772,004
Step by Step Solution
- Step 1: Write the proportion equation
13,412,167,848,002 : 20,118,251,772,004 = 13,412,167,848,002 : x - Step 2: Convert to fraction form
13,412,167,848,002/20,118,251,772,004 = 13,412,167,848,002/x - Step 3: Cross multiply
13,412,167,848,002x = 20,118,251,772,004 × 13,412,167,848,002 - Step 4: Simplify right side
13,412,167,848,002x = 269,829,369,574,481,320,520,712,192 - Step 5: Solve for x
x = 269,829,369,574,481,320,520,712,192/13,412,167,848,002 - Step 6: Final answer
x = 20,118,251,772,004
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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.