Finding the Fourth Proportional to 174,411,740,015.14, 240,732,983,622.07 and 113,595,655,436.75
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Solution
The fourth proportional to 174,411,740,015.14, 240,732,983,622.07 and 113,595,655,436.75 is: 156,791,171,611.61
Step by Step Solution
- Step 1: Write the proportion equation
174,411,740,015.14 : 240,732,983,622.07 = 113,595,655,436.75 : x - Step 2: Convert to fraction form
174,411,740,015.14/240,732,983,622.07 = 113,595,655,436.75/x - Step 3: Cross multiply
174,411,740,015.14x = 240,732,983,622.07 × 113,595,655,436.75 - Step 4: Simplify right side
174,411,740,015.14x = 27,346,221,059,793,445,978,112 - Step 5: Solve for x
x = 27,346,221,059,793,445,978,112/174,411,740,015.14 - Step 6: Final answer
x = 156,791,171,611.61
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1.5x scale
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.