Finding the Fourth Proportional to 543,167,101,270.36, 749,536,826,037 and 299,282,922,122.82
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Solution
The fourth proportional to 543,167,101,270.36, 749,536,826,037 and 299,282,922,122.82 is: 412,991,823,345.65
Step by Step Solution
- Step 1: Write the proportion equation
543,167,101,270.36 : 749,536,826,037 = 299,282,922,122.82 : x - Step 2: Convert to fraction form
543,167,101,270.36/749,536,826,037 = 299,282,922,122.82/x - Step 3: Cross multiply
543,167,101,270.36x = 749,536,826,037 × 299,282,922,122.82 - Step 4: Simplify right side
543,167,101,270.36x = 224,323,571,535,017,165,193,216 - Step 5: Solve for x
x = 224,323,571,535,017,165,193,216/543,167,101,270.36 - Step 6: Final answer
x = 412,991,823,345.65
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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.