Finding the Fourth Proportional to 8,501,609,664,409.40, 12,752,414,496,614 and 8,501,609,664,409.40
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Solution
The fourth proportional to 8,501,609,664,409.40, 12,752,414,496,614 and 8,501,609,664,409.40 is: 12,752,414,496,614
Step by Step Solution
- Step 1: Write the proportion equation
8,501,609,664,409.40 : 12,752,414,496,614 = 8,501,609,664,409.40 : x - Step 2: Convert to fraction form
8,501,609,664,409.40/12,752,414,496,614 = 8,501,609,664,409.40/x - Step 3: Cross multiply
8,501,609,664,409.40x = 12,752,414,496,614 × 8,501,609,664,409.40 - Step 4: Simplify right side
8,501,609,664,409.40x = 108,416,050,328,968,122,138,099,712 - Step 5: Solve for x
x = 108,416,050,328,968,122,138,099,712/8,501,609,664,409.40 - Step 6: Final answer
x = 12,752,414,496,614
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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.