Finding the Fourth Proportional to 505,566,275,404.70, 758,349,413,107.05 and 505,566,275,404.70
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Solution
The fourth proportional to 505,566,275,404.70, 758,349,413,107.05 and 505,566,275,404.70 is: 758,349,413,107.05
Step by Step Solution
- Step 1: Write the proportion equation
505,566,275,404.70 : 758,349,413,107.05 = 505,566,275,404.70 : x - Step 2: Convert to fraction form
505,566,275,404.70/758,349,413,107.05 = 505,566,275,404.70/x - Step 3: Cross multiply
505,566,275,404.70x = 758,349,413,107.05 × 505,566,275,404.70 - Step 4: Simplify right side
505,566,275,404.70x = 383,395,888,239,871,487,115,264 - Step 5: Solve for x
x = 383,395,888,239,871,487,115,264/505,566,275,404.70 - Step 6: Final answer
x = 758,349,413,107.05
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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.