Finding the Fourth Proportional to 97,785,146,912.15, 146,677,720,368.23 and 68,031,253,356.95
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Solution
The fourth proportional to 97,785,146,912.15, 146,677,720,368.23 and 68,031,253,356.95 is: 102,046,880,035.43
Step by Step Solution
- Step 1: Write the proportion equation
97,785,146,912.15 : 146,677,720,368.23 = 68,031,253,356.95 : x - Step 2: Convert to fraction form
97,785,146,912.15/146,677,720,368.23 = 68,031,253,356.95/x - Step 3: Cross multiply
97,785,146,912.15x = 146,677,720,368.23 × 68,031,253,356.95 - Step 4: Simplify right side
97,785,146,912.15x = 9,978,669,156,190,920,900,608 - Step 5: Solve for x
x = 9,978,669,156,190,920,900,608/97,785,146,912.15 - Step 6: Final answer
x = 102,046,880,035.43
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1.5x scale
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.