Finding the Fourth Proportional to 78,319,344,673.76, 117,478,870,189.68 and 24,540,597,548.96
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Solution
The fourth proportional to 78,319,344,673.76, 117,478,870,189.68 and 24,540,597,548.96 is: 36,810,850,318.53
Step by Step Solution
- Step 1: Write the proportion equation
78,319,344,673.76 : 117,478,870,189.68 = 24,540,597,548.96 : x - Step 2: Convert to fraction form
78,319,344,673.76/117,478,870,189.68 = 24,540,597,548.96/x - Step 3: Cross multiply
78,319,344,673.76x = 117,478,870,189.68 × 24,540,597,548.96 - Step 4: Simplify right side
78,319,344,673.76x = 2,883,001,673,831,450,935,296 - Step 5: Solve for x
x = 2,883,001,673,831,450,935,296/78,319,344,673.76 - Step 6: Final answer
x = 36,810,850,318.53
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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.