Finding the Fourth Proportional to 4,282,141,145.48, 6,423,070,379.67 and 1,760,982,125.48
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Solution
The fourth proportional to 4,282,141,145.48, 6,423,070,379.67 and 1,760,982,125.48 is: 2,641,415,064.34
Step by Step Solution
- Step 1: Write the proportion equation
4,282,141,145.48 : 6,423,070,379.67 = 1,760,982,125.48 : x - Step 2: Convert to fraction form
4,282,141,145.48/6,423,070,379.67 = 1,760,982,125.48/x - Step 3: Cross multiply
4,282,141,145.48x = 6,423,070,379.67 × 1,760,982,125.48 - Step 4: Simplify right side
4,282,141,145.48x = 11,310,912,129,266,790,400 - Step 5: Solve for x
x = 11,310,912,129,266,790,400/4,282,141,145.48 - Step 6: Final answer
x = 2,641,415,064.34
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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.