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Finding the Fourth Proportional to 170,055,811,878.45, 255,083,717,817.68 and 170,055,811,878.45

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Solution

The fourth proportional to 170,055,811,878.45, 255,083,717,817.68 and 170,055,811,878.45 is: 255,083,717,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,055,811,878.45 : 255,083,717,817.68 = 170,055,811,878.45 : x
  2. Step 2: Convert to fraction form
    170,055,811,878.45/255,083,717,817.68 = 170,055,811,878.45/x
  3. Step 3: Cross multiply
    170,055,811,878.45x = 255,083,717,817.68 × 170,055,811,878.45
  4. Step 4: Simplify right side
    170,055,811,878.45x = 43,378,468,730,459,014,561,792
  5. Step 5: Solve for x
    x = 43,378,468,730,459,014,561,792/170,055,811,878.45
  6. Step 6: Final answer
    x = 255,083,717,817.68

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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.