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Finding the Fourth Proportional to 3,669,307,273.90, 5,151,542,065.70 and 3,669,307,273.90

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Solution

The fourth proportional to 3,669,307,273.90, 5,151,542,065.70 and 3,669,307,273.90 is: 5,151,542,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,307,273.90 : 5,151,542,065.70 = 3,669,307,273.90 : x
  2. Step 2: Convert to fraction form
    3,669,307,273.90/5,151,542,065.70 = 3,669,307,273.90/x
  3. Step 3: Cross multiply
    3,669,307,273.90x = 5,151,542,065.70 × 3,669,307,273.90
  4. Step 4: Simplify right side
    3,669,307,273.90x = 18,902,590,773,474,840,576
  5. Step 5: Solve for x
    x = 18,902,590,773,474,840,576/3,669,307,273.90
  6. Step 6: Final answer
    x = 5,151,542,065.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.