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Finding the Fourth Proportional to 496,978,792.80, 745,461,190.80 and 224,349,122.40

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Solution

The fourth proportional to 496,978,792.80, 745,461,190.80 and 224,349,122.40 is: 336,520,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,978,792.80 : 745,461,190.80 = 224,349,122.40 : x
  2. Step 2: Convert to fraction form
    496,978,792.80/745,461,190.80 = 224,349,122.40/x
  3. Step 3: Cross multiply
    496,978,792.80x = 745,461,190.80 × 224,349,122.40
  4. Step 4: Simplify right side
    496,978,792.80x = 167,243,563,939,238,944
  5. Step 5: Solve for x
    x = 167,243,563,939,238,944/496,978,792.80
  6. Step 6: Final answer
    x = 336,520,524.34

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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.