Finding the Fourth Proportional to 2,165,391,318.78, 2,988,160,003.71 and 1,175,295,478.14
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Solution
The fourth proportional to 2,165,391,318.78, 2,988,160,003.71 and 1,175,295,478.14 is: 1,621,864,329.95
Step by Step Solution
- Step 1: Write the proportion equation
2,165,391,318.78 : 2,988,160,003.71 = 1,175,295,478.14 : x - Step 2: Convert to fraction form
2,165,391,318.78/2,988,160,003.71 = 1,175,295,478.14/x - Step 3: Cross multiply
2,165,391,318.78x = 2,988,160,003.71 × 1,175,295,478.14 - Step 4: Simplify right side
2,165,391,318.78x = 3,511,970,940,319,169,024 - Step 5: Solve for x
x = 3,511,970,940,319,169,024/2,165,391,318.78 - Step 6: Final answer
x = 1,621,864,329.95
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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.