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Finding the Fourth Proportional to 140,616,000.80, 196,996,770.40 and 140,616,000.80

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Solution

The fourth proportional to 140,616,000.80, 196,996,770.40 and 140,616,000.80 is: 196,996,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,616,000.80 : 196,996,770.40 = 140,616,000.80 : x
  2. Step 2: Convert to fraction form
    140,616,000.80/196,996,770.40 = 140,616,000.80/x
  3. Step 3: Cross multiply
    140,616,000.80x = 196,996,770.40 × 140,616,000.80
  4. Step 4: Simplify right side
    140,616,000.80x = 27,700,898,024,163,820
  5. Step 5: Solve for x
    x = 27,700,898,024,163,820/140,616,000.80
  6. Step 6: Final answer
    x = 196,996,770.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.