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Finding the Fourth Proportional to 420,308,979.40, 630,463,469.10 and 420,308,979.40

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Solution

The fourth proportional to 420,308,979.40, 630,463,469.10 and 420,308,979.40 is: 630,463,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,308,979.40 : 630,463,469.10 = 420,308,979.40 : x
  2. Step 2: Convert to fraction form
    420,308,979.40/630,463,469.10 = 420,308,979.40/x
  3. Step 3: Cross multiply
    420,308,979.40x = 630,463,469.10 × 420,308,979.40
  4. Step 4: Simplify right side
    420,308,979.40x = 264,989,457,246,404,416
  5. Step 5: Solve for x
    x = 264,989,457,246,404,416/420,308,979.40
  6. Step 6: Final answer
    x = 630,463,469.10

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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.