Finding the Fourth Proportional to 11,943,398,406,457, 17,915,906,652,944 and 4,197,724,238,850
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Solution
The fourth proportional to 11,943,398,406,457, 17,915,906,652,944 and 4,197,724,238,850 is: 6,296,870,711,218.85
Step by Step Solution
- Step 1: Write the proportion equation
11,943,398,406,457 : 17,915,906,652,944 = 4,197,724,238,850 : x - Step 2: Convert to fraction form
11,943,398,406,457/17,915,906,652,944 = 4,197,724,238,850/x - Step 3: Cross multiply
11,943,398,406,457x = 17,915,906,652,944 × 4,197,724,238,850 - Step 4: Simplify right side
11,943,398,406,457x = 75,206,035,618,037,001,250,406,400 - Step 5: Solve for x
x = 75,206,035,618,037,001,250,406,400/11,943,398,406,457 - Step 6: Final answer
x = 6,296,870,711,218.85
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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.