Finding the Fourth Proportional to 27,005,292,798.25, 40,492,237,419.78 and 10,218,400,843.99
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Solution
The fourth proportional to 27,005,292,798.25, 40,492,237,419.78 and 10,218,400,843.99 is: 15,321,659,947.05
Step by Step Solution
- Step 1: Write the proportion equation
27,005,292,798.25 : 40,492,237,419.78 = 10,218,400,843.99 : x - Step 2: Convert to fraction form
27,005,292,798.25/40,492,237,419.78 = 10,218,400,843.99/x - Step 3: Cross multiply
27,005,292,798.25x = 40,492,237,419.78 × 10,218,400,843.99 - Step 4: Simplify right side
27,005,292,798.25x = 413,765,913,025,323,401,216 - Step 5: Solve for x
x = 413,765,913,025,323,401,216/27,005,292,798.25 - Step 6: Final answer
x = 15,321,659,947.05
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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.