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Finding the Fourth Proportional to 669,353,209.80, 1,004,029,814.74 and 669,353,209.80

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Solution

The fourth proportional to 669,353,209.80, 1,004,029,814.74 and 669,353,209.80 is: 1,004,029,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,353,209.80 : 1,004,029,814.74 = 669,353,209.80 : x
  2. Step 2: Convert to fraction form
    669,353,209.80/1,004,029,814.74 = 669,353,209.80/x
  3. Step 3: Cross multiply
    669,353,209.80x = 1,004,029,814.74 × 669,353,209.80
  4. Step 4: Simplify right side
    669,353,209.80x = 672,050,579,231,118,336
  5. Step 5: Solve for x
    x = 672,050,579,231,118,336/669,353,209.80
  6. Step 6: Final answer
    x = 1,004,029,814.74

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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.