Finding the Fourth Proportional to 601,595,713,102.08, 902,202,119,213.40 and 198,604,148,922.84
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Solution
The fourth proportional to 601,595,713,102.08, 902,202,119,213.40 and 198,604,148,922.84 is: 297,843,020,055.49
Step by Step Solution
- Step 1: Write the proportion equation
601,595,713,102.08 : 902,202,119,213.40 = 198,604,148,922.84 : x - Step 2: Convert to fraction form
601,595,713,102.08/902,202,119,213.40 = 198,604,148,922.84/x - Step 3: Cross multiply
601,595,713,102.08x = 902,202,119,213.40 × 198,604,148,922.84 - Step 4: Simplify right side
601,595,713,102.08x = 179,181,084,042,759,944,273,920 - Step 5: Solve for x
x = 179,181,084,042,759,944,273,920/601,595,713,102.08 - Step 6: Final answer
x = 297,843,020,055.49
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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.