Finding the Fourth Proportional to 14,788,659,754,002, 20,408,374,469,011 and 8,204,155,583,494
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Solution
The fourth proportional to 14,788,659,754,002, 20,408,374,469,011 and 8,204,155,583,494 is: 11,321,748,024,168.54
Step by Step Solution
- Step 1: Write the proportion equation
14,788,659,754,002 : 20,408,374,469,011 = 8,204,155,583,494 : x - Step 2: Convert to fraction form
14,788,659,754,002/20,408,374,469,011 = 8,204,155,583,494/x - Step 3: Cross multiply
14,788,659,754,002x = 20,408,374,469,011 × 8,204,155,583,494 - Step 4: Simplify right side
14,788,659,754,002x = 167,433,479,349,973,005,876,854,784 - Step 5: Solve for x
x = 167,433,479,349,973,005,876,854,784/14,788,659,754,002 - Step 6: Final answer
x = 11,321,748,024,168.54
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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.