Finding the Fourth Proportional to 146,079,888,944.09, 219,119,833,416.12 and 146,079,888,944.09
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Solution
The fourth proportional to 146,079,888,944.09, 219,119,833,416.12 and 146,079,888,944.09 is: 219,119,833,416.12
Step by Step Solution
- Step 1: Write the proportion equation
146,079,888,944.09 : 219,119,833,416.12 = 146,079,888,944.09 : x - Step 2: Convert to fraction form
146,079,888,944.09/219,119,833,416.12 = 146,079,888,944.09/x - Step 3: Cross multiply
146,079,888,944.09x = 219,119,833,416.12 × 146,079,888,944.09 - Step 4: Simplify right side
146,079,888,944.09x = 32,009,000,930,874,308,427,776 - Step 5: Solve for x
x = 32,009,000,930,874,308,427,776/146,079,888,944.09 - Step 6: Final answer
x = 219,119,833,416.12
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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.