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Finding the Fourth Proportional to 283,939,206.30, 425,908,809.45 and 283,939,206.30

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Solution

The fourth proportional to 283,939,206.30, 425,908,809.45 and 283,939,206.30 is: 425,908,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,939,206.30 : 425,908,809.45 = 283,939,206.30 : x
  2. Step 2: Convert to fraction form
    283,939,206.30/425,908,809.45 = 283,939,206.30/x
  3. Step 3: Cross multiply
    283,939,206.30x = 425,908,809.45 × 283,939,206.30
  4. Step 4: Simplify right side
    283,939,206.30x = 120,932,209,311,410,944
  5. Step 5: Solve for x
    x = 120,932,209,311,410,944/283,939,206.30
  6. Step 6: Final answer
    x = 425,908,809.45

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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.