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Finding the Fourth Proportional to 5,212,960,038,010.30, 7,819,440,057,015.40 and 5,212,960,038,010.30

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Solution

The fourth proportional to 5,212,960,038,010.30, 7,819,440,057,015.40 and 5,212,960,038,010.30 is: 7,819,440,057,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212,960,038,010.30 : 7,819,440,057,015.40 = 5,212,960,038,010.30 : x
  2. Step 2: Convert to fraction form
    5,212,960,038,010.30/7,819,440,057,015.40 = 5,212,960,038,010.30/x
  3. Step 3: Cross multiply
    5,212,960,038,010.30x = 7,819,440,057,015.40 × 5,212,960,038,010.30
  4. Step 4: Simplify right side
    5,212,960,038,010.30x = 40,762,428,536,838,263,077,339,136
  5. Step 5: Solve for x
    x = 40,762,428,536,838,263,077,339,136/5,212,960,038,010.30
  6. Step 6: Final answer
    x = 7,819,440,057,015.40

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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.