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Finding the Fourth Proportional to 496,328,410.80, 744,492,616.20 and 312,662,401.20

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Solution

The fourth proportional to 496,328,410.80, 744,492,616.20 and 312,662,401.20 is: 468,993,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,328,410.80 : 744,492,616.20 = 312,662,401.20 : x
  2. Step 2: Convert to fraction form
    496,328,410.80/744,492,616.20 = 312,662,401.20/x
  3. Step 3: Cross multiply
    496,328,410.80x = 744,492,616.20 × 312,662,401.20
  4. Step 4: Simplify right side
    496,328,410.80x = 232,774,849,056,762,016
  5. Step 5: Solve for x
    x = 232,774,849,056,762,016/496,328,410.80
  6. Step 6: Final answer
    x = 468,993,601.80

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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.