Finding the Fourth Proportional to 65,164,378,307.74, 97,693,819,236.84 and 20,372,819,006.40
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Solution
The fourth proportional to 65,164,378,307.74, 97,693,819,236.84 and 20,372,819,006.40 is: 30,542,737,444.02
Step by Step Solution
- Step 1: Write the proportion equation
65,164,378,307.74 : 97,693,819,236.84 = 20,372,819,006.40 : x - Step 2: Convert to fraction form
65,164,378,307.74/97,693,819,236.84 = 20,372,819,006.40/x - Step 3: Cross multiply
65,164,378,307.74x = 97,693,819,236.84 × 20,372,819,006.40 - Step 4: Simplify right side
65,164,378,307.74x = 1,990,298,497,356,100,009,984 - Step 5: Solve for x
x = 1,990,298,497,356,100,009,984/65,164,378,307.74 - Step 6: Final answer
x = 30,542,737,444.02
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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.