Finding the Fourth Proportional to 12,682,791,151,998, 19,024,186,727,996 and 12,682,791,151,998
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Solution
The fourth proportional to 12,682,791,151,998, 19,024,186,727,996 and 12,682,791,151,998 is: 19,024,186,727,996
Step by Step Solution
- Step 1: Write the proportion equation
12,682,791,151,998 : 19,024,186,727,996 = 12,682,791,151,998 : x - Step 2: Convert to fraction form
12,682,791,151,998/19,024,186,727,996 = 12,682,791,151,998/x - Step 3: Cross multiply
12,682,791,151,998x = 19,024,186,727,996 × 12,682,791,151,998 - Step 4: Simplify right side
12,682,791,151,998x = 241,279,787,107,785,443,607,838,720 - Step 5: Solve for x
x = 241,279,787,107,785,443,607,838,720/12,682,791,151,998 - Step 6: Final answer
x = 19,024,186,727,996
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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.