Finding the Fourth Proportional to 10,819,683,350,825, 14,931,172,645,331 and 5,881,305,095,240
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Solution
The fourth proportional to 10,819,683,350,825, 14,931,172,645,331 and 5,881,305,095,240 is: 8,116,206,261,267.11
Step by Step Solution
- Step 1: Write the proportion equation
10,819,683,350,825 : 14,931,172,645,331 = 5,881,305,095,240 : x - Step 2: Convert to fraction form
10,819,683,350,825/14,931,172,645,331 = 5,881,305,095,240/x - Step 3: Cross multiply
10,819,683,350,825x = 14,931,172,645,331 × 5,881,305,095,240 - Step 4: Simplify right side
10,819,683,350,825x = 87,814,781,756,893,319,407,861,760 - Step 5: Solve for x
x = 87,814,781,756,893,319,407,861,760/10,819,683,350,825 - Step 6: Final answer
x = 8,116,206,261,267.11
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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.