Finding the Fourth Proportional to 483,420,189,211.24, 667,121,935,132 and 263,693,669,699.14
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Solution
The fourth proportional to 483,420,189,211.24, 667,121,935,132 and 263,693,669,699.14 is: 363,898,395,511.32
Step by Step Solution
- Step 1: Write the proportion equation
483,420,189,211.24 : 667,121,935,132 = 263,693,669,699.14 : x - Step 2: Convert to fraction form
483,420,189,211.24/667,121,935,132 = 263,693,669,699.14/x - Step 3: Cross multiply
483,420,189,211.24x = 667,121,935,132 × 263,693,669,699.14 - Step 4: Simplify right side
483,420,189,211.24x = 175,915,831,211,748,730,339,328 - Step 5: Solve for x
x = 175,915,831,211,748,730,339,328/483,420,189,211.24 - Step 6: Final answer
x = 363,898,395,511.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.