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Finding the Fourth Proportional to 459,189,023.65, 688,783,535.48 and 459,189,023.65

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Solution

The fourth proportional to 459,189,023.65, 688,783,535.48 and 459,189,023.65 is: 688,783,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,189,023.65 : 688,783,535.48 = 459,189,023.65 : x
  2. Step 2: Convert to fraction form
    459,189,023.65/688,783,535.48 = 459,189,023.65/x
  3. Step 3: Cross multiply
    459,189,023.65x = 688,783,535.48 × 459,189,023.65
  4. Step 4: Simplify right side
    459,189,023.65x = 316,281,839,160,960,384
  5. Step 5: Solve for x
    x = 316,281,839,160,960,384/459,189,023.65
  6. Step 6: Final answer
    x = 688,783,535.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.