Finding the Fourth Proportional to 17,567,125,426.74, 24,241,953,157.97 and 9,538,282,202.65
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Solution
The fourth proportional to 17,567,125,426.74, 24,241,953,157.97 and 9,538,282,202.65 is: 13,162,460,262.98
Step by Step Solution
- Step 1: Write the proportion equation
17,567,125,426.74 : 24,241,953,157.97 = 9,538,282,202.65 : x - Step 2: Convert to fraction form
17,567,125,426.74/24,241,953,157.97 = 9,538,282,202.65/x - Step 3: Cross multiply
17,567,125,426.74x = 24,241,953,157.97 × 9,538,282,202.65 - Step 4: Simplify right side
17,567,125,426.74x = 231,226,590,364,234,612,736 - Step 5: Solve for x
x = 231,226,590,364,234,612,736/17,567,125,426.74 - Step 6: Final answer
x = 13,162,460,262.98
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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.