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Finding the Fourth Proportional to 21,683,376,005.20, 32,463,842,004.60 and 21,683,376,005.20

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Solution

The fourth proportional to 21,683,376,005.20, 32,463,842,004.60 and 21,683,376,005.20 is: 32,463,842,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683,376,005.20 : 32,463,842,004.60 = 21,683,376,005.20 : x
  2. Step 2: Convert to fraction form
    21,683,376,005.20/32,463,842,004.60 = 21,683,376,005.20/x
  3. Step 3: Cross multiply
    21,683,376,005.20x = 32,463,842,004.60 × 21,683,376,005.20
  4. Step 4: Simplify right side
    21,683,376,005.20x = 703,925,692,759,147,544,576
  5. Step 5: Solve for x
    x = 703,925,692,759,147,544,576/21,683,376,005.20
  6. Step 6: Final answer
    x = 32,463,842,004.60

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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.