Finding the Fourth Proportional to 13,786,288,313,875, 20,679,432,470,826 and 13,786,288,313,875
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Solution
The fourth proportional to 13,786,288,313,875, 20,679,432,470,826 and 13,786,288,313,875 is: 20,679,432,470,826
Step by Step Solution
- Step 1: Write the proportion equation
13,786,288,313,875 : 20,679,432,470,826 = 13,786,288,313,875 : x - Step 2: Convert to fraction form
13,786,288,313,875/20,679,432,470,826 = 13,786,288,313,875/x - Step 3: Cross multiply
13,786,288,313,875x = 20,679,432,470,826 × 13,786,288,313,875 - Step 4: Simplify right side
13,786,288,313,875x = 285,092,618,210,115,699,964,116,992 - Step 5: Solve for x
x = 285,092,618,210,115,699,964,116,992/13,786,288,313,875 - Step 6: Final answer
x = 20,679,432,470,826
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.