Finding the Fourth Proportional to 538,800,924.80, 808,201,387.20 and 409,660,761.80
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Solution
The fourth proportional to 538,800,924.80, 808,201,387.20 and 409,660,761.80 is: 614,491,142.70
Step by Step Solution
- Step 1: Write the proportion equation
538,800,924.80 : 808,201,387.20 = 409,660,761.80 : x - Step 2: Convert to fraction form
538,800,924.80/808,201,387.20 = 409,660,761.80/x - Step 3: Cross multiply
538,800,924.80x = 808,201,387.20 × 409,660,761.80 - Step 4: Simplify right side
538,800,924.80x = 331,088,395,968,168,768 - Step 5: Solve for x
x = 331,088,395,968,168,768/538,800,924.80 - Step 6: Final answer
x = 614,491,142.70
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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.