Finding the Fourth Proportional to 412,516,084,065.87, 618,773,980,460.40 and 110,320,832,659.99
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Solution
The fourth proportional to 412,516,084,065.87, 618,773,980,460.40 and 110,320,832,659.99 is: 165,481,210,041.32
Step by Step Solution
- Step 1: Write the proportion equation
412,516,084,065.87 : 618,773,980,460.40 = 110,320,832,659.99 : x - Step 2: Convert to fraction form
412,516,084,065.87/618,773,980,460.40 = 110,320,832,659.99/x - Step 3: Cross multiply
412,516,084,065.87x = 618,773,980,460.40 × 110,320,832,659.99 - Step 4: Simplify right side
412,516,084,065.87x = 68,263,660,752,727,714,037,760 - Step 5: Solve for x
x = 68,263,660,752,727,714,037,760/412,516,084,065.87 - Step 6: Final answer
x = 165,481,210,041.32
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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.