Finding the Fourth Proportional to 6,284,104,343.46, 9,427,125,066.42 and 2,142,579,316.05
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Solution
The fourth proportional to 6,284,104,343.46, 9,427,125,066.42 and 2,142,579,316.05 is: 3,214,199,203.77
Step by Step Solution
- Step 1: Write the proportion equation
6,284,104,343.46 : 9,427,125,066.42 = 2,142,579,316.05 : x - Step 2: Convert to fraction form
6,284,104,343.46/9,427,125,066.42 = 2,142,579,316.05/x - Step 3: Cross multiply
6,284,104,343.46x = 9,427,125,066.42 × 2,142,579,316.05 - Step 4: Simplify right side
6,284,104,343.46x = 20,198,363,177,127,972,864 - Step 5: Solve for x
x = 20,198,363,177,127,972,864/6,284,104,343.46 - Step 6: Final answer
x = 3,214,199,203.77
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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.