Finding the Fourth Proportional to 4,159,310,555,815, 5,739,855,319,412.50 and 2,307,418,757,859.70
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Solution
The fourth proportional to 4,159,310,555,815, 5,739,855,319,412.50 and 2,307,418,757,859.70 is: 3,184,241,631,800.45
Step by Step Solution
- Step 1: Write the proportion equation
4,159,310,555,815 : 5,739,855,319,412.50 = 2,307,418,757,859.70 : x - Step 2: Convert to fraction form
4,159,310,555,815/5,739,855,319,412.50 = 2,307,418,757,859.70/x - Step 3: Cross multiply
4,159,310,555,815x = 5,739,855,319,412.50 × 2,307,418,757,859.70 - Step 4: Simplify right side
4,159,310,555,815x = 13,244,249,831,413,184,206,995,456 - Step 5: Solve for x
x = 13,244,249,831,413,184,206,995,456/4,159,310,555,815 - Step 6: Final answer
x = 3,184,241,631,800.45
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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.