Finding the Fourth Proportional to 146,788,874,690.26, 202,586,281,675.89 and 88,915,556,425.02
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Solution
The fourth proportional to 146,788,874,690.26, 202,586,281,675.89 and 88,915,556,425.02 is: 122,714,149,810.71
Step by Step Solution
- Step 1: Write the proportion equation
146,788,874,690.26 : 202,586,281,675.89 = 88,915,556,425.02 : x - Step 2: Convert to fraction form
146,788,874,690.26/202,586,281,675.89 = 88,915,556,425.02/x - Step 3: Cross multiply
146,788,874,690.26x = 202,586,281,675.89 × 88,915,556,425.02 - Step 4: Simplify right side
146,788,874,690.26x = 18,013,071,959,286,580,510,720 - Step 5: Solve for x
x = 18,013,071,959,286,580,510,720/146,788,874,690.26 - Step 6: Final answer
x = 122,714,149,810.71
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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.