Finding the Fourth Proportional to 1,854,296,064,100, 2,781,444,096,150 and 1,854,296,064,100
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Solution
The fourth proportional to 1,854,296,064,100, 2,781,444,096,150 and 1,854,296,064,100 is: 2,781,444,096,150
Step by Step Solution
- Step 1: Write the proportion equation
1,854,296,064,100 : 2,781,444,096,150 = 1,854,296,064,100 : x - Step 2: Convert to fraction form
1,854,296,064,100/2,781,444,096,150 = 1,854,296,064,100/x - Step 3: Cross multiply
1,854,296,064,100x = 2,781,444,096,150 × 1,854,296,064,100 - Step 4: Simplify right side
1,854,296,064,100x = 5,157,620,840,005,127,140,016,128 - Step 5: Solve for x
x = 5,157,620,840,005,127,140,016,128/1,854,296,064,100 - Step 6: Final answer
x = 2,781,444,096,150
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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.