Finding the Fourth Proportional to 12,165,765,169.84, 18,256,324,124.76 and 5,178,564,709.36
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Solution
The fourth proportional to 12,165,765,169.84, 18,256,324,124.76 and 5,178,564,709.36 is: 7,771,114,641.40
Step by Step Solution
- Step 1: Write the proportion equation
12,165,765,169.84 : 18,256,324,124.76 = 5,178,564,709.36 : x - Step 2: Convert to fraction form
12,165,765,169.84/18,256,324,124.76 = 5,178,564,709.36/x - Step 3: Cross multiply
12,165,765,169.84x = 18,256,324,124.76 × 5,178,564,709.36 - Step 4: Simplify right side
12,165,765,169.84x = 94,541,555,835,119,714,304 - Step 5: Solve for x
x = 94,541,555,835,119,714,304/12,165,765,169.84 - Step 6: Final answer
x = 7,771,114,641.40
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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.