Finding the Fourth Proportional to 31,091,135,205,672, 42,907,115,295,162 and 17,217,611,656,326
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Solution
The fourth proportional to 31,091,135,205,672, 42,907,115,295,162 and 17,217,611,656,326 is: 23,761,050,973,479.16
Step by Step Solution
- Step 1: Write the proportion equation
31,091,135,205,672 : 42,907,115,295,162 = 17,217,611,656,326 : x - Step 2: Convert to fraction form
31,091,135,205,672/42,907,115,295,162 = 17,217,611,656,326/x - Step 3: Cross multiply
31,091,135,205,672x = 42,907,115,295,162 × 17,217,611,656,326 - Step 4: Simplify right side
31,091,135,205,672x = 738,758,048,445,304,843,364,466,688 - Step 5: Solve for x
x = 738,758,048,445,304,843,364,466,688/31,091,135,205,672 - Step 6: Final answer
x = 23,761,050,973,479.16
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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.