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Finding the Fourth Proportional to 820,119,168,049.90, 1,230,178,752,074.90 and 820,119,168,049.90

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Solution

The fourth proportional to 820,119,168,049.90, 1,230,178,752,074.90 and 820,119,168,049.90 is: 1,230,178,752,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,119,168,049.90 : 1,230,178,752,074.90 = 820,119,168,049.90 : x
  2. Step 2: Convert to fraction form
    820,119,168,049.90/1,230,178,752,074.90 = 820,119,168,049.90/x
  3. Step 3: Cross multiply
    820,119,168,049.90x = 1,230,178,752,074.90 × 820,119,168,049.90
  4. Step 4: Simplify right side
    820,119,168,049.90x = 1,008,893,174,704,331,070,373,888
  5. Step 5: Solve for x
    x = 1,008,893,174,704,331,070,373,888/820,119,168,049.90
  6. Step 6: Final answer
    x = 1,230,178,752,074.90

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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.