Finding the Fourth Proportional to 2,499,686,878,230.10, 3,749,530,317,345.20 and 801,971,553,383.20
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Solution
The fourth proportional to 2,499,686,878,230.10, 3,749,530,317,345.20 and 801,971,553,383.20 is: 1,202,957,330,074.82
Step by Step Solution
- Step 1: Write the proportion equation
2,499,686,878,230.10 : 3,749,530,317,345.20 = 801,971,553,383.20 : x - Step 2: Convert to fraction form
2,499,686,878,230.10/3,749,530,317,345.20 = 801,971,553,383.20/x - Step 3: Cross multiply
2,499,686,878,230.10x = 3,749,530,317,345.20 × 801,971,553,383.20 - Step 4: Simplify right side
2,499,686,878,230.10x = 3,007,016,653,058,732,638,339,072 - Step 5: Solve for x
x = 3,007,016,653,058,732,638,339,072/2,499,686,878,230.10 - Step 6: Final answer
x = 1,202,957,330,074.82
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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.