Finding the Fourth Proportional to 11,602,084,541,094, 16,010,926,443,202 and 6,328,648,072,804
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Solution
The fourth proportional to 11,602,084,541,094, 16,010,926,443,202 and 6,328,648,072,804 is: 8,733,561,492,305.97
Step by Step Solution
- Step 1: Write the proportion equation
11,602,084,541,094 : 16,010,926,443,202 = 6,328,648,072,804 : x - Step 2: Convert to fraction form
11,602,084,541,094/16,010,926,443,202 = 6,328,648,072,804/x - Step 3: Cross multiply
11,602,084,541,094x = 16,010,926,443,202 × 6,328,648,072,804 - Step 4: Simplify right side
11,602,084,541,094x = 101,327,518,778,576,945,725,571,072 - Step 5: Solve for x
x = 101,327,518,778,576,945,725,571,072/11,602,084,541,094 - Step 6: Final answer
x = 8,733,561,492,305.97
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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.