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Finding the Fourth Proportional to 106,291,207.90, 159,184,869.45 and 106,291,207.90

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Solution

The fourth proportional to 106,291,207.90, 159,184,869.45 and 106,291,207.90 is: 159,184,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291,207.90 : 159,184,869.45 = 106,291,207.90 : x
  2. Step 2: Convert to fraction form
    106,291,207.90/159,184,869.45 = 106,291,207.90/x
  3. Step 3: Cross multiply
    106,291,207.90x = 159,184,869.45 × 106,291,207.90
  4. Step 4: Simplify right side
    106,291,207.90x = 16,919,952,053,244,308
  5. Step 5: Solve for x
    x = 16,919,952,053,244,308/106,291,207.90
  6. Step 6: Final answer
    x = 159,184,869.45

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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.