Finding the Fourth Proportional to 430,638,509.70, 645,957,764.55 and 201,055,997.70
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Solution
The fourth proportional to 430,638,509.70, 645,957,764.55 and 201,055,997.70 is: 301,583,996.55
Step by Step Solution
- Step 1: Write the proportion equation
430,638,509.70 : 645,957,764.55 = 201,055,997.70 : x - Step 2: Convert to fraction form
430,638,509.70/645,957,764.55 = 201,055,997.70/x - Step 3: Cross multiply
430,638,509.70x = 645,957,764.55 × 201,055,997.70 - Step 4: Simplify right side
430,638,509.70x = 129,873,682,823,661,920 - Step 5: Solve for x
x = 129,873,682,823,661,920/430,638,509.70 - Step 6: Final answer
x = 301,583,996.55
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1.5x scale
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.