Finding the Fourth Proportional to 16,230,120,938.70, 24,328,189,873.44 and 6,792,172,199.70
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Solution
The fourth proportional to 16,230,120,938.70, 24,328,189,873.44 and 6,792,172,199.70 is: 10,181,147,481.99
Step by Step Solution
- Step 1: Write the proportion equation
16,230,120,938.70 : 24,328,189,873.44 = 6,792,172,199.70 : x - Step 2: Convert to fraction form
16,230,120,938.70/24,328,189,873.44 = 6,792,172,199.70/x - Step 3: Cross multiply
16,230,120,938.70x = 24,328,189,873.44 × 6,792,172,199.70 - Step 4: Simplify right side
16,230,120,938.70x = 165,241,254,927,402,205,184 - Step 5: Solve for x
x = 165,241,254,927,402,205,184/16,230,120,938.70 - Step 6: Final answer
x = 10,181,147,481.99
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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.