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Finding the Fourth Proportional to 170,201,126,500.80, 255,301,689,751.20 and 170,201,126,500.80

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Solution

The fourth proportional to 170,201,126,500.80, 255,301,689,751.20 and 170,201,126,500.80 is: 255,301,689,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,201,126,500.80 : 255,301,689,751.20 = 170,201,126,500.80 : x
  2. Step 2: Convert to fraction form
    170,201,126,500.80/255,301,689,751.20 = 170,201,126,500.80/x
  3. Step 3: Cross multiply
    170,201,126,500.80x = 255,301,689,751.20 × 170,201,126,500.80
  4. Step 4: Simplify right side
    170,201,126,500.80x = 43,452,635,193,211,984,281,600
  5. Step 5: Solve for x
    x = 43,452,635,193,211,984,281,600/170,201,126,500.80
  6. Step 6: Final answer
    x = 255,301,689,751.20

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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.