Finding the Fourth Proportional to 13,240,109,229,852, 19,860,163,844,778 and 13,240,109,229,852
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Solution
The fourth proportional to 13,240,109,229,852, 19,860,163,844,778 and 13,240,109,229,852 is: 19,860,163,844,778
Step by Step Solution
- Step 1: Write the proportion equation
13,240,109,229,852 : 19,860,163,844,778 = 13,240,109,229,852 : x - Step 2: Convert to fraction form
13,240,109,229,852/19,860,163,844,778 = 13,240,109,229,852/x - Step 3: Cross multiply
13,240,109,229,852x = 19,860,163,844,778 × 13,240,109,229,852 - Step 4: Simplify right side
13,240,109,229,852x = 262,950,738,627,618,195,913,048,064 - Step 5: Solve for x
x = 262,950,738,627,618,195,913,048,064/13,240,109,229,852 - Step 6: Final answer
x = 19,860,163,844,778
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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.