Finding the Fourth Proportional to 5,455,112,776,100, 7,528,102,576,921.20 and 3,111,430,872,635.80
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Solution
The fourth proportional to 5,455,112,776,100, 7,528,102,576,921.20 and 3,111,430,872,635.80 is: 4,293,801,380,756.71
Step by Step Solution
- Step 1: Write the proportion equation
5,455,112,776,100 : 7,528,102,576,921.20 = 3,111,430,872,635.80 : x - Step 2: Convert to fraction form
5,455,112,776,100/7,528,102,576,921.20 = 3,111,430,872,635.80/x - Step 3: Cross multiply
5,455,112,776,100x = 7,528,102,576,921.20 × 3,111,430,872,635.80 - Step 4: Simplify right side
5,455,112,776,100x = 23,423,170,770,201,742,820,769,792 - Step 5: Solve for x
x = 23,423,170,770,201,742,820,769,792/5,455,112,776,100 - Step 6: Final answer
x = 4,293,801,380,756.71
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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.