Finding the Fourth Proportional to 11,912,784,736,513, 17,869,177,104,770 and 11,912,784,736,513
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Solution
The fourth proportional to 11,912,784,736,513, 17,869,177,104,770 and 11,912,784,736,513 is: 17,869,177,104,770
Step by Step Solution
- Step 1: Write the proportion equation
11,912,784,736,513 : 17,869,177,104,770 = 11,912,784,736,513 : x - Step 2: Convert to fraction form
11,912,784,736,513/17,869,177,104,770 = 11,912,784,736,513/x - Step 3: Cross multiply
11,912,784,736,513x = 17,869,177,104,770 × 11,912,784,736,513 - Step 4: Simplify right side
11,912,784,736,513x = 212,871,660,267,751,605,599,731,712 - Step 5: Solve for x
x = 212,871,660,267,751,605,599,731,712/11,912,784,736,513 - Step 6: Final answer
x = 17,869,177,104,770
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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.