Finding the Fourth Proportional to 37,260,899,584,852, 55,892,487,998,760 and 12,783,377,046,664
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Solution
The fourth proportional to 37,260,899,584,852, 55,892,487,998,760 and 12,783,377,046,664 is: 19,175,456,205,431
Step by Step Solution
- Step 1: Write the proportion equation
37,260,899,584,852 : 55,892,487,998,760 = 12,783,377,046,664 : x - Step 2: Convert to fraction form
37,260,899,584,852/55,892,487,998,760 = 12,783,377,046,664/x - Step 3: Cross multiply
37,260,899,584,852x = 55,892,487,998,760 × 12,783,377,046,664 - Step 4: Simplify right side
37,260,899,584,852x = 714,494,748,164,291,622,741,213,184 - Step 5: Solve for x
x = 714,494,748,164,291,622,741,213,184/37,260,899,584,852 - Step 6: Final answer
x = 19,175,456,205,431
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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.