Finding the Fourth Proportional to 4,096,417,170.78, 6,142,137,531.80 and 1,606,294,896.12
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Solution
The fourth proportional to 4,096,417,170.78, 6,142,137,531.80 and 1,606,294,896.12 is: 2,408,466,656.90
Step by Step Solution
- Step 1: Write the proportion equation
4,096,417,170.78 : 6,142,137,531.80 = 1,606,294,896.12 : x - Step 2: Convert to fraction form
4,096,417,170.78/6,142,137,531.80 = 1,606,294,896.12/x - Step 3: Cross multiply
4,096,417,170.78x = 6,142,137,531.80 × 1,606,294,896.12 - Step 4: Simplify right side
4,096,417,170.78x = 9,866,084,168,589,402,112 - Step 5: Solve for x
x = 9,866,084,168,589,402,112/4,096,417,170.78 - Step 6: Final answer
x = 2,408,466,656.90
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1.5x scale
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.