Finding the Fourth Proportional to 354,412,759,000.06, 489,089,631,326.22 and 194,020,676,554.05
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Solution
The fourth proportional to 354,412,759,000.06, 489,089,631,326.22 and 194,020,676,554.05 is: 267,748,546,731.83
Step by Step Solution
- Step 1: Write the proportion equation
354,412,759,000.06 : 489,089,631,326.22 = 194,020,676,554.05 : x - Step 2: Convert to fraction form
354,412,759,000.06/489,089,631,326.22 = 194,020,676,554.05/x - Step 3: Cross multiply
354,412,759,000.06x = 489,089,631,326.22 × 194,020,676,554.05 - Step 4: Simplify right side
354,412,759,000.06x = 94,893,501,165,484,082,462,720 - Step 5: Solve for x
x = 94,893,501,165,484,082,462,720/354,412,759,000.06 - Step 6: Final answer
x = 267,748,546,731.83
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1.5x scale
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.