Finding the Fourth Proportional to 7,664,178,331,827.30, 11,496,296,974,872 and 1,855,619,298,952.20
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Solution
The fourth proportional to 7,664,178,331,827.30, 11,496,296,974,872 and 1,855,619,298,952.20 is: 2,783,436,085,309.89
Step by Step Solution
- Step 1: Write the proportion equation
7,664,178,331,827.30 : 11,496,296,974,872 = 1,855,619,298,952.20 : x - Step 2: Convert to fraction form
7,664,178,331,827.30/11,496,296,974,872 = 1,855,619,298,952.20/x - Step 3: Cross multiply
7,664,178,331,827.30x = 11,496,296,974,872 × 1,855,619,298,952.20 - Step 4: Simplify right side
7,664,178,331,827.30x = 21,332,750,533,058,276,720,902,144 - Step 5: Solve for x
x = 21,332,750,533,058,276,720,902,144/7,664,178,331,827.30 - Step 6: Final answer
x = 2,783,436,085,309.89
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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.