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Finding the Fourth Proportional to 499,416,810.10, 700,331,446.70 and 499,416,810.10

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Solution

The fourth proportional to 499,416,810.10, 700,331,446.70 and 499,416,810.10 is: 700,331,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,416,810.10 : 700,331,446.70 = 499,416,810.10 : x
  2. Step 2: Convert to fraction form
    499,416,810.10/700,331,446.70 = 499,416,810.10/x
  3. Step 3: Cross multiply
    499,416,810.10x = 700,331,446.70 × 499,416,810.10
  4. Step 4: Simplify right side
    499,416,810.10x = 349,757,297,123,632,192
  5. Step 5: Solve for x
    x = 349,757,297,123,632,192/499,416,810.10
  6. Step 6: Final answer
    x = 700,331,446.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.