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Finding the Fourth Proportional to 140,103,006.30, 210,154,509.45 and 140,103,006.30

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Solution

The fourth proportional to 140,103,006.30, 210,154,509.45 and 140,103,006.30 is: 210,154,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103,006.30 : 210,154,509.45 = 140,103,006.30 : x
  2. Step 2: Convert to fraction form
    140,103,006.30/210,154,509.45 = 140,103,006.30/x
  3. Step 3: Cross multiply
    140,103,006.30x = 210,154,509.45 × 140,103,006.30
  4. Step 4: Simplify right side
    140,103,006.30x = 29,443,278,561,446,760
  5. Step 5: Solve for x
    x = 29,443,278,561,446,760/140,103,006.30
  6. Step 6: Final answer
    x = 210,154,509.45

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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.