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Finding the Fourth Proportional to 105,467,854.40, 158,201,781.60 and 105,467,854.40

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Solution

The fourth proportional to 105,467,854.40, 158,201,781.60 and 105,467,854.40 is: 158,201,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,467,854.40 : 158,201,781.60 = 105,467,854.40 : x
  2. Step 2: Convert to fraction form
    105,467,854.40/158,201,781.60 = 105,467,854.40/x
  3. Step 3: Cross multiply
    105,467,854.40x = 158,201,781.60 × 105,467,854.40
  4. Step 4: Simplify right side
    105,467,854.40x = 16,685,202,467,609,400
  5. Step 5: Solve for x
    x = 16,685,202,467,609,400/105,467,854.40
  6. Step 6: Final answer
    x = 158,201,781.60

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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.