Finding the Fourth Proportional to 472,395,404.70, 708,593,107.05 and 199,766,171.70
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Solution
The fourth proportional to 472,395,404.70, 708,593,107.05 and 199,766,171.70 is: 299,649,257.55
Step by Step Solution
- Step 1: Write the proportion equation
472,395,404.70 : 708,593,107.05 = 199,766,171.70 : x - Step 2: Convert to fraction form
472,395,404.70/708,593,107.05 = 199,766,171.70/x - Step 3: Cross multiply
472,395,404.70x = 708,593,107.05 × 199,766,171.70 - Step 4: Simplify right side
472,395,404.70x = 141,552,932,288,386,768 - Step 5: Solve for x
x = 141,552,932,288,386,768/472,395,404.70 - Step 6: Final answer
x = 299,649,257.55
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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.