Finding the Fourth Proportional to 14,788,659,753,994, 20,408,374,469,004 and 8,204,155,583,486
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Solution
The fourth proportional to 14,788,659,753,994, 20,408,374,469,004 and 8,204,155,583,486 is: 11,321,748,024,159.75
Step by Step Solution
- Step 1: Write the proportion equation
14,788,659,753,994 : 20,408,374,469,004 = 8,204,155,583,486 : x - Step 2: Convert to fraction form
14,788,659,753,994/20,408,374,469,004 = 8,204,155,583,486/x - Step 3: Cross multiply
14,788,659,753,994x = 20,408,374,469,004 × 8,204,155,583,486 - Step 4: Simplify right side
14,788,659,753,994x = 167,433,479,349,752,313,277,317,120 - Step 5: Solve for x
x = 167,433,479,349,752,313,277,317,120/14,788,659,753,994 - Step 6: Final answer
x = 11,321,748,024,159.75
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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.