Finding the Fourth Proportional to 394,024,624,688.61, 590,884,135,365.06 and 135,526,225,081.59
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Solution
The fourth proportional to 394,024,624,688.61, 590,884,135,365.06 and 135,526,225,081.59 is: 203,236,780,924.32
Step by Step Solution
- Step 1: Write the proportion equation
394,024,624,688.61 : 590,884,135,365.06 = 135,526,225,081.59 : x - Step 2: Convert to fraction form
394,024,624,688.61/590,884,135,365.06 = 135,526,225,081.59/x - Step 3: Cross multiply
394,024,624,688.61x = 590,884,135,365.06 × 135,526,225,081.59 - Step 4: Simplify right side
394,024,624,688.61x = 80,080,296,326,625,824,342,016 - Step 5: Solve for x
x = 80,080,296,326,625,824,342,016/394,024,624,688.61 - Step 6: Final answer
x = 203,236,780,924.32
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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.