Finding the Fourth Proportional to 7,858,635,752.34, 11,782,142,294.76 and 4,752,527,854.05
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Solution
The fourth proportional to 7,858,635,752.34, 11,782,142,294.76 and 4,752,527,854.05 is: 7,125,277,363.77
Step by Step Solution
- Step 1: Write the proportion equation
7,858,635,752.34 : 11,782,142,294.76 = 4,752,527,854.05 : x - Step 2: Convert to fraction form
7,858,635,752.34/11,782,142,294.76 = 4,752,527,854.05/x - Step 3: Cross multiply
7,858,635,752.34x = 11,782,142,294.76 × 4,752,527,854.05 - Step 4: Simplify right side
7,858,635,752.34x = 55,994,959,436,227,485,696 - Step 5: Solve for x
x = 55,994,959,436,227,485,696/7,858,635,752.34 - Step 6: Final answer
x = 7,125,277,363.77
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.