Finding the Fourth Proportional to 11,465,383,192,565, 15,822,228,200,554 and 6,191,831,295,844
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Solution
The fourth proportional to 11,465,383,192,565, 15,822,228,200,554 and 6,191,831,295,844 is: 8,544,726,861,436.77
Step by Step Solution
- Step 1: Write the proportion equation
11,465,383,192,565 : 15,822,228,200,554 = 6,191,831,295,844 : x - Step 2: Convert to fraction form
11,465,383,192,565/15,822,228,200,554 = 6,191,831,295,844/x - Step 3: Cross multiply
11,465,383,192,565x = 15,822,228,200,554 × 6,191,831,295,844 - Step 4: Simplify right side
11,465,383,192,565x = 97,968,567,742,175,762,345,623,552 - Step 5: Solve for x
x = 97,968,567,742,175,762,345,623,552/11,465,383,192,565 - Step 6: Final answer
x = 8,544,726,861,436.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.