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Finding the Fourth Proportional to 140,300,424,000.02, 210,450,636,000.05 and 140,300,424,000.02

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Solution

The fourth proportional to 140,300,424,000.02, 210,450,636,000.05 and 140,300,424,000.02 is: 210,450,636,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,300,424,000.02 : 210,450,636,000.05 = 140,300,424,000.02 : x
  2. Step 2: Convert to fraction form
    140,300,424,000.02/210,450,636,000.05 = 140,300,424,000.02/x
  3. Step 3: Cross multiply
    140,300,424,000.02x = 210,450,636,000.05 × 140,300,424,000.02
  4. Step 4: Simplify right side
    140,300,424,000.02x = 29,526,313,461,880,882,987,008
  5. Step 5: Solve for x
    x = 29,526,313,461,880,882,987,008/140,300,424,000.02
  6. Step 6: Final answer
    x = 210,450,636,000.05

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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.