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Finding the Fourth Proportional to 204,828,009.90, 307,242,014.85 and 204,828,009.90

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Solution

The fourth proportional to 204,828,009.90, 307,242,014.85 and 204,828,009.90 is: 307,242,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,828,009.90 : 307,242,014.85 = 204,828,009.90 : x
  2. Step 2: Convert to fraction form
    204,828,009.90/307,242,014.85 = 204,828,009.90/x
  3. Step 3: Cross multiply
    204,828,009.90x = 307,242,014.85 × 204,828,009.90
  4. Step 4: Simplify right side
    204,828,009.90x = 62,931,770,459,391,752
  5. Step 5: Solve for x
    x = 62,931,770,459,391,752/204,828,009.90
  6. Step 6: Final answer
    x = 307,242,014.85

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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.