Finding the Fourth Proportional to 477,752,731,009.99, 716,624,188,231.10 and 276,166,197,722.40
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Solution
The fourth proportional to 477,752,731,009.99, 716,624,188,231.10 and 276,166,197,722.40 is: 414,246,459,337.45
Step by Step Solution
- Step 1: Write the proportion equation
477,752,731,009.99 : 716,624,188,231.10 = 276,166,197,722.40 : x - Step 2: Convert to fraction form
477,752,731,009.99/716,624,188,231.10 = 276,166,197,722.40/x - Step 3: Cross multiply
477,752,731,009.99x = 716,624,188,231.10 × 276,166,197,722.40 - Step 4: Simplify right side
477,752,731,009.99x = 197,907,377,259,684,380,540,928 - Step 5: Solve for x
x = 197,907,377,259,684,380,540,928/477,752,731,009.99 - Step 6: Final answer
x = 414,246,459,337.45
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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.