Finding the Fourth Proportional to 260,657,513,134.97, 390,775,276,803.93 and 81,491,275,929.86
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Solution
The fourth proportional to 260,657,513,134.97, 390,775,276,803.93 and 81,491,275,929.86 is: 122,170,949,632.70
Step by Step Solution
- Step 1: Write the proportion equation
260,657,513,134.97 : 390,775,276,803.93 = 81,491,275,929.86 : x - Step 2: Convert to fraction form
260,657,513,134.97/390,775,276,803.93 = 81,491,275,929.86/x - Step 3: Cross multiply
260,657,513,134.97x = 390,775,276,803.93 × 81,491,275,929.86 - Step 4: Simplify right side
260,657,513,134.97x = 31,844,775,908,596,481,261,568 - Step 5: Solve for x
x = 31,844,775,908,596,481,261,568/260,657,513,134.97 - Step 6: Final answer
x = 122,170,949,632.70
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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.