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Finding the Fourth Proportional to 475,955,999.65, 713,933,999.48 and 475,955,999.65

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Solution

The fourth proportional to 475,955,999.65, 713,933,999.48 and 475,955,999.65 is: 713,933,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,955,999.65 : 713,933,999.48 = 475,955,999.65 : x
  2. Step 2: Convert to fraction form
    475,955,999.65/713,933,999.48 = 475,955,999.65/x
  3. Step 3: Cross multiply
    475,955,999.65x = 713,933,999.48 × 475,955,999.65
  4. Step 4: Simplify right side
    475,955,999.65x = 339,801,170,406,625,984
  5. Step 5: Solve for x
    x = 339,801,170,406,625,984/475,955,999.65
  6. Step 6: Final answer
    x = 713,933,999.48

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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.