Finding the Fourth Proportional to 10,823,022,621,023, 14,936,307,833,115 and 6,713,672,865,224.70
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Solution
The fourth proportional to 10,823,022,621,023, 14,936,307,833,115 and 6,713,672,865,224.70 is: 9,265,201,424,511.95
Step by Step Solution
- Step 1: Write the proportion equation
10,823,022,621,023 : 14,936,307,833,115 = 6,713,672,865,224.70 : x - Step 2: Convert to fraction form
10,823,022,621,023/14,936,307,833,115 = 6,713,672,865,224.70/x - Step 3: Cross multiply
10,823,022,621,023x = 14,936,307,833,115 × 6,713,672,865,224.70 - Step 4: Simplify right side
10,823,022,621,023x = 100,277,484,605,827,310,940,061,696 - Step 5: Solve for x
x = 100,277,484,605,827,310,940,061,696/10,823,022,621,023 - Step 6: Final answer
x = 9,265,201,424,511.95
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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.