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Finding the Fourth Proportional to 129,149,361,620.20, 193,724,042,430.30 and 129,149,361,620.20

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Solution

The fourth proportional to 129,149,361,620.20, 193,724,042,430.30 and 129,149,361,620.20 is: 193,724,042,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,149,361,620.20 : 193,724,042,430.30 = 129,149,361,620.20 : x
  2. Step 2: Convert to fraction form
    129,149,361,620.20/193,724,042,430.30 = 129,149,361,620.20/x
  3. Step 3: Cross multiply
    129,149,361,620.20x = 193,724,042,430.30 × 129,149,361,620.20
  4. Step 4: Simplify right side
    129,149,361,620.20x = 25,019,336,410,357,779,398,656
  5. Step 5: Solve for x
    x = 25,019,336,410,357,779,398,656/129,149,361,620.20
  6. Step 6: Final answer
    x = 193,724,042,430.30

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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.