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Finding the Fourth Proportional to 328,784,840,400.80, 493,177,260,601.20 and 328,784,840,400.80

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Solution

The fourth proportional to 328,784,840,400.80, 493,177,260,601.20 and 328,784,840,400.80 is: 493,177,260,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,784,840,400.80 : 493,177,260,601.20 = 328,784,840,400.80 : x
  2. Step 2: Convert to fraction form
    328,784,840,400.80/493,177,260,601.20 = 328,784,840,400.80/x
  3. Step 3: Cross multiply
    328,784,840,400.80x = 493,177,260,601.20 × 328,784,840,400.80
  4. Step 4: Simplify right side
    328,784,840,400.80x = 162,149,206,916,069,276,516,352
  5. Step 5: Solve for x
    x = 162,149,206,916,069,276,516,352/328,784,840,400.80
  6. Step 6: Final answer
    x = 493,177,260,601.20

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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.