Finding the Fourth Proportional to 10,842,202,369,534, 16,265,449,947,117 and 3,097,535,828,138.70
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Solution
The fourth proportional to 10,842,202,369,534, 16,265,449,947,117 and 3,097,535,828,138.70 is: 4,646,916,950,523.32
Step by Step Solution
- Step 1: Write the proportion equation
10,842,202,369,534 : 16,265,449,947,117 = 3,097,535,828,138.70 : x - Step 2: Convert to fraction form
10,842,202,369,534/16,265,449,947,117 = 3,097,535,828,138.70/x - Step 3: Cross multiply
10,842,202,369,534x = 16,265,449,947,117 × 3,097,535,828,138.70 - Step 4: Simplify right side
10,842,202,369,534x = 50,382,813,971,991,633,957,224,448 - Step 5: Solve for x
x = 50,382,813,971,991,633,957,224,448/10,842,202,369,534 - Step 6: Final answer
x = 4,646,916,950,523.32
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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.