Finding the Fourth Proportional to 413,753,413,426.08, 620,630,120,139.12 and 413,753,413,426.08
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Solution
The fourth proportional to 413,753,413,426.08, 620,630,120,139.12 and 413,753,413,426.08 is: 620,630,120,139.12
Step by Step Solution
- Step 1: Write the proportion equation
413,753,413,426.08 : 620,630,120,139.12 = 413,753,413,426.08 : x - Step 2: Convert to fraction form
413,753,413,426.08/620,630,120,139.12 = 413,753,413,426.08/x - Step 3: Cross multiply
413,753,413,426.08x = 620,630,120,139.12 × 413,753,413,426.08 - Step 4: Simplify right side
413,753,413,426.08x = 256,787,830,682,599,018,201,088 - Step 5: Solve for x
x = 256,787,830,682,599,018,201,088/413,753,413,426.08 - Step 6: Final answer
x = 620,630,120,139.12
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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.