Finding the Fourth Proportional to 803,542,975,857.57, 1,205,488,997,218.80 and 293,600,923,680.63
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Solution
The fourth proportional to 803,542,975,857.57, 1,205,488,997,218.80 and 293,600,923,680.63 is: 440,465,157,065.86
Step by Step Solution
- Step 1: Write the proportion equation
803,542,975,857.57 : 1,205,488,997,218.80 = 293,600,923,680.63 : x - Step 2: Convert to fraction form
803,542,975,857.57/1,205,488,997,218.80 = 293,600,923,680.63/x - Step 3: Cross multiply
803,542,975,857.57x = 1,205,488,997,218.80 × 293,600,923,680.63 - Step 4: Simplify right side
803,542,975,857.57x = 353,932,683,070,276,129,259,520 - Step 5: Solve for x
x = 353,932,683,070,276,129,259,520/803,542,975,857.57 - Step 6: Final answer
x = 440,465,157,065.86
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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.