Finding the Fourth Proportional to 11,771,176,021.74, 16,244,104,297.23 and 6,418,722,857.58
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Solution
The fourth proportional to 11,771,176,021.74, 16,244,104,297.23 and 6,418,722,857.58 is: 8,857,772,864.92
Step by Step Solution
- Step 1: Write the proportion equation
11,771,176,021.74 : 16,244,104,297.23 = 6,418,722,857.58 : x - Step 2: Convert to fraction form
11,771,176,021.74/16,244,104,297.23 = 6,418,722,857.58/x - Step 3: Cross multiply
11,771,176,021.74x = 16,244,104,297.23 × 6,418,722,857.58 - Step 4: Simplify right side
11,771,176,021.74x = 104,266,403,553,543,700,480 - Step 5: Solve for x
x = 104,266,403,553,543,700,480/11,771,176,021.74 - Step 6: Final answer
x = 8,857,772,864.92
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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.