Finding the Fourth Proportional to 1,634,202,234,987.30, 2,451,312,515,624.70 and 545,096,241,646.60
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Solution
The fourth proportional to 1,634,202,234,987.30, 2,451,312,515,624.70 and 545,096,241,646.60 is: 817,647,418,881.84
Step by Step Solution
- Step 1: Write the proportion equation
1,634,202,234,987.30 : 2,451,312,515,624.70 = 545,096,241,646.60 : x - Step 2: Convert to fraction form
1,634,202,234,987.30/2,451,312,515,624.70 = 545,096,241,646.60/x - Step 3: Cross multiply
1,634,202,234,987.30x = 2,451,312,515,624.70 × 545,096,241,646.60 - Step 4: Simplify right side
1,634,202,234,987.30x = 1,336,201,239,368,296,568,979,456 - Step 5: Solve for x
x = 1,336,201,239,368,296,568,979,456/1,634,202,234,987.30 - Step 6: Final answer
x = 817,647,418,881.84
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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.