Finding the Fourth Proportional to 16,857,666,148,682, 23,263,579,282,926 and 9,549,801,892,252
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Solution
The fourth proportional to 16,857,666,148,682, 23,263,579,282,926 and 9,549,801,892,252 is: 13,178,726,610,030.22
Step by Step Solution
- Step 1: Write the proportion equation
16,857,666,148,682 : 23,263,579,282,926 = 9,549,801,892,252 : x - Step 2: Convert to fraction form
16,857,666,148,682/23,263,579,282,926 = 9,549,801,892,252/x - Step 3: Cross multiply
16,857,666,148,682x = 23,263,579,282,926 × 9,549,801,892,252 - Step 4: Simplify right side
16,857,666,148,682x = 222,162,573,456,641,136,953,131,008 - Step 5: Solve for x
x = 222,162,573,456,641,136,953,131,008/16,857,666,148,682 - Step 6: Final answer
x = 13,178,726,610,030.22
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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.