Finding the Fourth Proportional to 7,685,056,586,332, 10,605,573,220,183 and 4,216,674,779,790.80
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Solution
The fourth proportional to 7,685,056,586,332, 10,605,573,220,183 and 4,216,674,779,790.80 is: 5,819,118,261,576.12
Step by Step Solution
- Step 1: Write the proportion equation
7,685,056,586,332 : 10,605,573,220,183 = 4,216,674,779,790.80 : x - Step 2: Convert to fraction form
7,685,056,586,332/10,605,573,220,183 = 4,216,674,779,790.80/x - Step 3: Cross multiply
7,685,056,586,332x = 10,605,573,220,183 × 4,216,674,779,790.80 - Step 4: Simplify right side
7,685,056,586,332x = 44,720,253,122,770,359,252,156,416 - Step 5: Solve for x
x = 44,720,253,122,770,359,252,156,416/7,685,056,586,332 - Step 6: Final answer
x = 5,819,118,261,576.12
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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.