Finding the Fourth Proportional to 827,433,039,761.30, 1,241,149,559,642 and 827,433,039,761.30
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Solution
The fourth proportional to 827,433,039,761.30, 1,241,149,559,642 and 827,433,039,761.30 is: 1,241,149,559,642
Step by Step Solution
- Step 1: Write the proportion equation
827,433,039,761.30 : 1,241,149,559,642 = 827,433,039,761.30 : x - Step 2: Convert to fraction form
827,433,039,761.30/1,241,149,559,642 = 827,433,039,761.30/x - Step 3: Cross multiply
827,433,039,761.30x = 1,241,149,559,642 × 827,433,039,761.30 - Step 4: Simplify right side
827,433,039,761.30x = 1,026,968,152,932,979,014,893,568 - Step 5: Solve for x
x = 1,026,968,152,932,979,014,893,568/827,433,039,761.30 - Step 6: Final answer
x = 1,241,149,559,642
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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.