Finding the Fourth Proportional to 160,091,048,328.14, 240,128,115,029.79 and 52,511,148,693.68
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Solution
The fourth proportional to 160,091,048,328.14, 240,128,115,029.79 and 52,511,148,693.68 is: 78,763,948,924.97
Step by Step Solution
- Step 1: Write the proportion equation
160,091,048,328.14 : 240,128,115,029.79 = 52,511,148,693.68 : x - Step 2: Convert to fraction form
160,091,048,328.14/240,128,115,029.79 = 52,511,148,693.68/x - Step 3: Cross multiply
160,091,048,328.14x = 240,128,115,029.79 × 52,511,148,693.68 - Step 4: Simplify right side
160,091,048,328.14x = 12,609,403,153,862,398,836,736 - Step 5: Solve for x
x = 12,609,403,153,862,398,836,736/160,091,048,328.14 - Step 6: Final answer
x = 78,763,948,924.97
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.