Finding the Fourth Proportional to 5,161,641,673,706, 7,123,029,273,851.50 and 2,817,841,056,204.70
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Solution
The fourth proportional to 5,161,641,673,706, 7,123,029,273,851.50 and 2,817,841,056,204.70 is: 3,888,600,875,696.89
Step by Step Solution
- Step 1: Write the proportion equation
5,161,641,673,706 : 7,123,029,273,851.50 = 2,817,841,056,204.70 : x - Step 2: Convert to fraction form
5,161,641,673,706/7,123,029,273,851.50 = 2,817,841,056,204.70/x - Step 3: Cross multiply
5,161,641,673,706x = 7,123,029,273,851.50 × 2,817,841,056,204.70 - Step 4: Simplify right side
5,161,641,673,706x = 20,071,564,332,406,708,503,576,576 - Step 5: Solve for x
x = 20,071,564,332,406,708,503,576,576/5,161,641,673,706 - Step 6: Final answer
x = 3,888,600,875,696.89
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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.