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Finding the Fourth Proportional to 140,157,306.30, 210,235,959.45 and 140,157,306.30

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Solution

The fourth proportional to 140,157,306.30, 210,235,959.45 and 140,157,306.30 is: 210,235,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157,306.30 : 210,235,959.45 = 140,157,306.30 : x
  2. Step 2: Convert to fraction form
    140,157,306.30/210,235,959.45 = 140,157,306.30/x
  3. Step 3: Cross multiply
    140,157,306.30x = 210,235,959.45 × 140,157,306.30
  4. Step 4: Simplify right side
    140,157,306.30x = 29,466,105,763,908,032
  5. Step 5: Solve for x
    x = 29,466,105,763,908,032/140,157,306.30
  6. Step 6: Final answer
    x = 210,235,959.45

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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.