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Finding the Fourth Proportional to 34,049,536,419.90, 51,074,304,629.85 and 34,049,536,419.90

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Solution

The fourth proportional to 34,049,536,419.90, 51,074,304,629.85 and 34,049,536,419.90 is: 51,074,304,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049,536,419.90 : 51,074,304,629.85 = 34,049,536,419.90 : x
  2. Step 2: Convert to fraction form
    34,049,536,419.90/51,074,304,629.85 = 34,049,536,419.90/x
  3. Step 3: Cross multiply
    34,049,536,419.90x = 51,074,304,629.85 × 34,049,536,419.90
  4. Step 4: Simplify right side
    34,049,536,419.90x = 1,739,056,395,615,144,771,584
  5. Step 5: Solve for x
    x = 1,739,056,395,615,144,771,584/34,049,536,419.90
  6. Step 6: Final answer
    x = 51,074,304,629.85

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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.