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Finding the Fourth Proportional to 475,955,998.65, 713,933,997.98 and 475,955,998.65

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Solution

The fourth proportional to 475,955,998.65, 713,933,997.98 and 475,955,998.65 is: 713,933,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,955,998.65 : 713,933,997.98 = 475,955,998.65 : x
  2. Step 2: Convert to fraction form
    475,955,998.65/713,933,997.98 = 475,955,998.65/x
  3. Step 3: Cross multiply
    475,955,998.65x = 713,933,997.98 × 475,955,998.65
  4. Step 4: Simplify right side
    475,955,998.65x = 339,801,168,976,378,176
  5. Step 5: Solve for x
    x = 339,801,168,976,378,176/475,955,998.65
  6. Step 6: Final answer
    x = 713,933,997.98

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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.