Finding the Fourth Proportional to 11,267,564,582.16, 16,901,405,178.48 and 6,606,169,687.44
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Solution
The fourth proportional to 11,267,564,582.16, 16,901,405,178.48 and 6,606,169,687.44 is: 9,909,288,715.50
Step by Step Solution
- Step 1: Write the proportion equation
11,267,564,582.16 : 16,901,405,178.48 = 6,606,169,687.44 : x - Step 2: Convert to fraction form
11,267,564,582.16/16,901,405,178.48 = 6,606,169,687.44/x - Step 3: Cross multiply
11,267,564,582.16x = 16,901,405,178.48 × 6,606,169,687.44 - Step 4: Simplify right side
11,267,564,582.16x = 111,653,550,565,216,010,240 - Step 5: Solve for x
x = 111,653,550,565,216,010,240/11,267,564,582.16 - Step 6: Final answer
x = 9,909,288,715.50
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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.