Finding the Fourth Proportional to 413,753,414,000.65, 620,630,121,000.95 and 413,753,414,000.65
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Solution
The fourth proportional to 413,753,414,000.65, 620,630,121,000.95 and 413,753,414,000.65 is: 620,630,121,000.95
Step by Step Solution
- Step 1: Write the proportion equation
413,753,414,000.65 : 620,630,121,000.95 = 413,753,414,000.65 : x - Step 2: Convert to fraction form
413,753,414,000.65/620,630,121,000.95 = 413,753,414,000.65/x - Step 3: Cross multiply
413,753,414,000.65x = 620,630,121,000.95 × 413,753,414,000.65 - Step 4: Simplify right side
413,753,414,000.65x = 256,787,831,395,779,579,215,872 - Step 5: Solve for x
x = 256,787,831,395,779,579,215,872/413,753,414,000.65 - Step 6: Final answer
x = 620,630,121,000.95
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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.