Finding the Fourth Proportional to 17,677,518,358,869, 24,394,715,715,084 and 9,873,775,247,527.40
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Solution
The fourth proportional to 17,677,518,358,869, 24,394,715,715,084 and 9,873,775,247,527.40 is: 13,625,664,830,788.77
Step by Step Solution
- Step 1: Write the proportion equation
17,677,518,358,869 : 24,394,715,715,084 = 9,873,775,247,527.40 : x - Step 2: Convert to fraction form
17,677,518,358,869/24,394,715,715,084 = 9,873,775,247,527.40/x - Step 3: Cross multiply
17,677,518,358,869x = 24,394,715,715,084 × 9,873,775,247,527.40 - Step 4: Simplify right side
17,677,518,358,869x = 240,867,940,198,064,089,559,203,840 - Step 5: Solve for x
x = 240,867,940,198,064,089,559,203,840/17,677,518,358,869 - Step 6: Final answer
x = 13,625,664,830,788.77
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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.