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Finding the Fourth Proportional to 413,700,474.40, 620,267,276.40 and 195,455,370.40

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Solution

The fourth proportional to 413,700,474.40, 620,267,276.40 and 195,455,370.40 is: 293,049,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,700,474.40 : 620,267,276.40 = 195,455,370.40 : x
  2. Step 2: Convert to fraction form
    413,700,474.40/620,267,276.40 = 195,455,370.40/x
  3. Step 3: Cross multiply
    413,700,474.40x = 620,267,276.40 × 195,455,370.40
  4. Step 4: Simplify right side
    413,700,474.40x = 121,234,570,255,761,184
  5. Step 5: Solve for x
    x = 121,234,570,255,761,184/413,700,474.40
  6. Step 6: Final answer
    x = 293,049,144.87

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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.