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Finding the Fourth Proportional to 140,029,672.80, 210,044,509.20 and 140,029,672.80

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Solution

The fourth proportional to 140,029,672.80, 210,044,509.20 and 140,029,672.80 is: 210,044,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,029,672.80 : 210,044,509.20 = 140,029,672.80 : x
  2. Step 2: Convert to fraction form
    140,029,672.80/210,044,509.20 = 140,029,672.80/x
  3. Step 3: Cross multiply
    140,029,672.80x = 210,044,509.20 × 140,029,672.80
  4. Step 4: Simplify right side
    140,029,672.80x = 29,412,463,896,712,592
  5. Step 5: Solve for x
    x = 29,412,463,896,712,592/140,029,672.80
  6. Step 6: Final answer
    x = 210,044,509.20

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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.