Finding the Fourth Proportional to 550,162,188,003.84, 825,620,241,525.44 and 192,014,161,506.99
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Solution
The fourth proportional to 550,162,188,003.84, 825,620,241,525.44 and 192,014,161,506.99 is: 288,152,806,311.36
Step by Step Solution
- Step 1: Write the proportion equation
550,162,188,003.84 : 825,620,241,525.44 = 192,014,161,506.99 : x - Step 2: Convert to fraction form
550,162,188,003.84/825,620,241,525.44 = 192,014,161,506.99/x - Step 3: Cross multiply
550,162,188,003.84x = 825,620,241,525.44 × 192,014,161,506.99 - Step 4: Simplify right side
550,162,188,003.84x = 158,530,778,399,705,913,098,240 - Step 5: Solve for x
x = 158,530,778,399,705,913,098,240/550,162,188,003.84 - Step 6: Final answer
x = 288,152,806,311.36
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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.