Finding the Fourth Proportional to 307,752,455,563.80, 461,628,683,345.70 and 307,752,455,563.80
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Solution
The fourth proportional to 307,752,455,563.80, 461,628,683,345.70 and 307,752,455,563.80 is: 461,628,683,345.70
Step by Step Solution
- Step 1: Write the proportion equation
307,752,455,563.80 : 461,628,683,345.70 = 307,752,455,563.80 : x - Step 2: Convert to fraction form
307,752,455,563.80/461,628,683,345.70 = 307,752,455,563.80/x - Step 3: Cross multiply
307,752,455,563.80x = 461,628,683,345.70 × 307,752,455,563.80 - Step 4: Simplify right side
307,752,455,563.80x = 142,067,360,858,323,040,600,064 - Step 5: Solve for x
x = 142,067,360,858,323,040,600,064/307,752,455,563.80 - Step 6: Final answer
x = 461,628,683,345.70
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1.5x scale
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.