Finding the Fourth Proportional to 4,647,358,849.37, 6,972,405,974.44 and 1,499,514,408.63
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Solution
The fourth proportional to 4,647,358,849.37, 6,972,405,974.44 and 1,499,514,408.63 is: 2,249,712,914.45
Step by Step Solution
- Step 1: Write the proportion equation
4,647,358,849.37 : 6,972,405,974.44 = 1,499,514,408.63 : x - Step 2: Convert to fraction form
4,647,358,849.37/6,972,405,974.44 = 1,499,514,408.63/x - Step 3: Cross multiply
4,647,358,849.37x = 6,972,405,974.44 × 1,499,514,408.63 - Step 4: Simplify right side
4,647,358,849.37x = 10,455,223,221,486,927,872 - Step 5: Solve for x
x = 10,455,223,221,486,927,872/4,647,358,849.37 - Step 6: Final answer
x = 2,249,712,914.45
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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.