Finding the Fourth Proportional to 1,666,457,918,814.40, 2,499,686,878,221.60 and 534,647,702,249.80
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Solution
The fourth proportional to 1,666,457,918,814.40, 2,499,686,878,221.60 and 534,647,702,249.80 is: 801,971,553,374.70
Step by Step Solution
- Step 1: Write the proportion equation
1,666,457,918,814.40 : 2,499,686,878,221.60 = 534,647,702,249.80 : x - Step 2: Convert to fraction form
1,666,457,918,814.40/2,499,686,878,221.60 = 534,647,702,249.80/x - Step 3: Cross multiply
1,666,457,918,814.40x = 2,499,686,878,221.60 × 534,647,702,249.80 - Step 4: Simplify right side
1,666,457,918,814.40x = 1,336,451,845,785,154,190,573,568 - Step 5: Solve for x
x = 1,336,451,845,785,154,190,573,568/1,666,457,918,814.40 - Step 6: Final answer
x = 801,971,553,374.70
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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.