Finding the Fourth Proportional to 7,725,125,384,529, 10,661,236,478,665 and 4,478,024,011,211.70
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Solution
The fourth proportional to 7,725,125,384,529, 10,661,236,478,665 and 4,478,024,011,211.70 is: 6,179,999,749,425.26
Step by Step Solution
- Step 1: Write the proportion equation
7,725,125,384,529 : 10,661,236,478,665 = 4,478,024,011,211.70 : x - Step 2: Convert to fraction form
7,725,125,384,529/10,661,236,478,665 = 4,478,024,011,211.70/x - Step 3: Cross multiply
7,725,125,384,529x = 10,661,236,478,665 × 4,478,024,011,211.70 - Step 4: Simplify right side
7,725,125,384,529x = 47,741,272,940,667,941,112,774,656 - Step 5: Solve for x
x = 47,741,272,940,667,941,112,774,656/7,725,125,384,529 - Step 6: Final answer
x = 6,179,999,749,425.26
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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.