Finding the Fourth Proportional to 385,163,977,801.20, 577,243,379,418.48 and 215,176,700,531.70
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Solution
The fourth proportional to 385,163,977,801.20, 577,243,379,418.48 and 215,176,700,531.70 is: 322,484,274,090.52
Step by Step Solution
- Step 1: Write the proportion equation
385,163,977,801.20 : 577,243,379,418.48 = 215,176,700,531.70 : x - Step 2: Convert to fraction form
385,163,977,801.20/577,243,379,418.48 = 215,176,700,531.70/x - Step 3: Cross multiply
385,163,977,801.20x = 577,243,379,418.48 × 215,176,700,531.70 - Step 4: Simplify right side
385,163,977,801.20x = 124,209,325,787,036,749,135,872 - Step 5: Solve for x
x = 124,209,325,787,036,749,135,872/385,163,977,801.20 - Step 6: Final answer
x = 322,484,274,090.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.