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Finding the Fourth Proportional to 1,530,505,152,021.30, 2,295,757,728,032 and 1,530,505,152,021.30

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Solution

The fourth proportional to 1,530,505,152,021.30, 2,295,757,728,032 and 1,530,505,152,021.30 is: 2,295,757,728,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,505,152,021.30 : 2,295,757,728,032 = 1,530,505,152,021.30 : x
  2. Step 2: Convert to fraction form
    1,530,505,152,021.30/2,295,757,728,032 = 1,530,505,152,021.30/x
  3. Step 3: Cross multiply
    1,530,505,152,021.30x = 2,295,757,728,032 × 1,530,505,152,021.30
  4. Step 4: Simplify right side
    1,530,505,152,021.30x = 3,513,669,030,545,690,606,960,640
  5. Step 5: Solve for x
    x = 3,513,669,030,545,690,606,960,640/1,530,505,152,021.30
  6. Step 6: Final answer
    x = 2,295,757,728,032

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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.