Finding the Fourth Proportional to 16,029,074,248.62, 22,110,932,233.10 and 9,997,107,415.82
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Solution
The fourth proportional to 16,029,074,248.62, 22,110,932,233.10 and 9,997,107,415.82 is: 13,790,276,417.07
Step by Step Solution
- Step 1: Write the proportion equation
16,029,074,248.62 : 22,110,932,233.10 = 9,997,107,415.82 : x - Step 2: Convert to fraction form
16,029,074,248.62/22,110,932,233.10 = 9,997,107,415.82/x - Step 3: Cross multiply
16,029,074,248.62x = 22,110,932,233.10 × 9,997,107,415.82 - Step 4: Simplify right side
16,029,074,248.62x = 221,045,364,598,217,474,048 - Step 5: Solve for x
x = 221,045,364,598,217,474,048/16,029,074,248.62 - Step 6: Final answer
x = 13,790,276,417.07
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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.