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Finding the Fourth Proportional to 667,782,455,657.30, 1,001,673,683,485.90 and 667,782,455,657.30

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Solution

The fourth proportional to 667,782,455,657.30, 1,001,673,683,485.90 and 667,782,455,657.30 is: 1,001,673,683,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,782,455,657.30 : 1,001,673,683,485.90 = 667,782,455,657.30 : x
  2. Step 2: Convert to fraction form
    667,782,455,657.30/1,001,673,683,485.90 = 667,782,455,657.30/x
  3. Step 3: Cross multiply
    667,782,455,657.30x = 1,001,673,683,485.90 × 667,782,455,657.30
  4. Step 4: Simplify right side
    667,782,455,657.30x = 668,900,112,125,507,468,787,712
  5. Step 5: Solve for x
    x = 668,900,112,125,507,468,787,712/667,782,455,657.30
  6. Step 6: Final answer
    x = 1,001,673,683,485.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.