Finding the Fourth Proportional to 512,583,167.80, 768,800,102.10 and 149,039,615.80
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Solution
The fourth proportional to 512,583,167.80, 768,800,102.10 and 149,039,615.80 is: 223,537,718.45
Step by Step Solution
- Step 1: Write the proportion equation
512,583,167.80 : 768,800,102.10 = 149,039,615.80 : x - Step 2: Convert to fraction form
512,583,167.80/768,800,102.10 = 149,039,615.80/x - Step 3: Cross multiply
512,583,167.80x = 768,800,102.10 × 149,039,615.80 - Step 4: Simplify right side
512,583,167.80x = 114,581,671,843,984,784 - Step 5: Solve for x
x = 114,581,671,843,984,784/512,583,167.80 - Step 6: Final answer
x = 223,537,718.45
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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.