Finding the Fourth Proportional to 7,394,329,877,005.80, 10,204,187,234,514 and 4,102,077,791,752.10
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Solution
The fourth proportional to 7,394,329,877,005.80, 10,204,187,234,514 and 4,102,077,791,752.10 is: 5,660,874,012,092.35
Step by Step Solution
- Step 1: Write the proportion equation
7,394,329,877,005.80 : 10,204,187,234,514 = 4,102,077,791,752.10 : x - Step 2: Convert to fraction form
7,394,329,877,005.80/10,204,187,234,514 = 4,102,077,791,752.10/x - Step 3: Cross multiply
7,394,329,877,005.80x = 10,204,187,234,514 × 4,102,077,791,752.10 - Step 4: Simplify right side
7,394,329,877,005.80x = 41,858,369,837,580,155,837,480,960 - Step 5: Solve for x
x = 41,858,369,837,580,155,837,480,960/7,394,329,877,005.80 - Step 6: Final answer
x = 5,660,874,012,092.35
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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.