Finding the Fourth Proportional to 11,833,781,280, 16,330,305,605.76 and 6,753,054,148.80
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Solution
The fourth proportional to 11,833,781,280, 16,330,305,605.76 and 6,753,054,148.80 is: 9,319,036,359.79
Step by Step Solution
- Step 1: Write the proportion equation
11,833,781,280 : 16,330,305,605.76 = 6,753,054,148.80 : x - Step 2: Convert to fraction form
11,833,781,280/16,330,305,605.76 = 6,753,054,148.80/x - Step 3: Cross multiply
11,833,781,280x = 16,330,305,605.76 × 6,753,054,148.80 - Step 4: Simplify right side
11,833,781,280x = 110,279,438,022,149,472,256 - Step 5: Solve for x
x = 110,279,438,022,149,472,256/11,833,781,280 - Step 6: Final answer
x = 9,319,036,359.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.