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Finding the Fourth Proportional to 322,617,152.40, 483,029,933.40 and 313,659,200.40

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Solution

The fourth proportional to 322,617,152.40, 483,029,933.40 and 313,659,200.40 is: 469,617,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,617,152.40 : 483,029,933.40 = 313,659,200.40 : x
  2. Step 2: Convert to fraction form
    322,617,152.40/483,029,933.40 = 313,659,200.40/x
  3. Step 3: Cross multiply
    322,617,152.40x = 483,029,933.40 × 313,659,200.40
  4. Step 4: Simplify right side
    322,617,152.40x = 151,506,782,679,509,248
  5. Step 5: Solve for x
    x = 151,506,782,679,509,248/322,617,152.40
  6. Step 6: Final answer
    x = 469,617,878.51

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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.