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Finding the Fourth Proportional to 140,300,424,000.27, 210,450,636,000.40 and 140,300,424,000.27

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Solution

The fourth proportional to 140,300,424,000.27, 210,450,636,000.40 and 140,300,424,000.27 is: 210,450,636,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,300,424,000.27 : 210,450,636,000.40 = 140,300,424,000.27 : x
  2. Step 2: Convert to fraction form
    140,300,424,000.27/210,450,636,000.40 = 140,300,424,000.27/x
  3. Step 3: Cross multiply
    140,300,424,000.27x = 210,450,636,000.40 × 140,300,424,000.27
  4. Step 4: Simplify right side
    140,300,424,000.27x = 29,526,313,461,982,603,247,616
  5. Step 5: Solve for x
    x = 29,526,313,461,982,603,247,616/140,300,424,000.27
  6. Step 6: Final answer
    x = 210,450,636,000.40

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1.5x scale

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.