Finding the Fourth Proportional to 9,292,148,014,267, 12,823,204,125,852 and 5,068,635,237,366
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Solution
The fourth proportional to 9,292,148,014,267, 12,823,204,125,852 and 5,068,635,237,366 is: 6,994,738,373,564.07
Step by Step Solution
- Step 1: Write the proportion equation
9,292,148,014,267 : 12,823,204,125,852 = 5,068,635,237,366 : x - Step 2: Convert to fraction form
9,292,148,014,267/12,823,204,125,852 = 5,068,635,237,366/x - Step 3: Cross multiply
9,292,148,014,267x = 12,823,204,125,852 × 5,068,635,237,366 - Step 4: Simplify right side
9,292,148,014,267x = 64,996,144,288,230,519,785,652,224 - Step 5: Solve for x
x = 64,996,144,288,230,519,785,652,224/9,292,148,014,267 - Step 6: Final answer
x = 6,994,738,373,564.07
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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.