Finding the Fourth Proportional to 7,725,125,384,527.50, 10,661,236,478,662 and 4,478,024,011,210.20
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Solution
The fourth proportional to 7,725,125,384,527.50, 10,661,236,478,662 and 4,478,024,011,210.20 is: 6,179,999,749,422.65
Step by Step Solution
- Step 1: Write the proportion equation
7,725,125,384,527.50 : 10,661,236,478,662 = 4,478,024,011,210.20 : x - Step 2: Convert to fraction form
7,725,125,384,527.50/10,661,236,478,662 = 4,478,024,011,210.20/x - Step 3: Cross multiply
7,725,125,384,527.50x = 10,661,236,478,662 × 4,478,024,011,210.20 - Step 4: Simplify right side
7,725,125,384,527.50x = 47,741,272,940,638,520,586,797,056 - Step 5: Solve for x
x = 47,741,272,940,638,520,586,797,056/7,725,125,384,527.50 - Step 6: Final answer
x = 6,179,999,749,422.65
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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.