Finding the Fourth Proportional to 146,079,888,905.14, 219,119,833,357.70 and 146,079,888,905.14
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Solution
The fourth proportional to 146,079,888,905.14, 219,119,833,357.70 and 146,079,888,905.14 is: 219,119,833,357.70
Step by Step Solution
- Step 1: Write the proportion equation
146,079,888,905.14 : 219,119,833,357.70 = 146,079,888,905.14 : x - Step 2: Convert to fraction form
146,079,888,905.14/219,119,833,357.70 = 146,079,888,905.14/x - Step 3: Cross multiply
146,079,888,905.14x = 219,119,833,357.70 × 146,079,888,905.14 - Step 4: Simplify right side
146,079,888,905.14x = 32,009,000,913,805,609,271,296 - Step 5: Solve for x
x = 32,009,000,913,805,609,271,296/146,079,888,905.14 - Step 6: Final answer
x = 219,119,833,357.70
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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.