Finding the Fourth Proportional to 335,627,206,269.81, 463,251,721,146.15 and 218,596,480,262.28
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Solution
The fourth proportional to 335,627,206,269.81, 463,251,721,146.15 and 218,596,480,262.28 is: 301,719,270,149.35
Step by Step Solution
- Step 1: Write the proportion equation
335,627,206,269.81 : 463,251,721,146.15 = 218,596,480,262.28 : x - Step 2: Convert to fraction form
335,627,206,269.81/463,251,721,146.15 = 218,596,480,262.28/x - Step 3: Cross multiply
335,627,206,269.81x = 463,251,721,146.15 × 218,596,480,262.28 - Step 4: Simplify right side
335,627,206,269.81x = 101,265,195,717,991,614,906,368 - Step 5: Solve for x
x = 101,265,195,717,991,614,906,368/335,627,206,269.81 - Step 6: Final answer
x = 301,719,270,149.35
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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.