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Finding the Fourth Proportional to 5,504,686,898.78, 8,257,030,348.17 and 5,504,686,898.78

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Solution

The fourth proportional to 5,504,686,898.78, 8,257,030,348.17 and 5,504,686,898.78 is: 8,257,030,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504,686,898.78 : 8,257,030,348.17 = 5,504,686,898.78 : x
  2. Step 2: Convert to fraction form
    5,504,686,898.78/8,257,030,348.17 = 5,504,686,898.78/x
  3. Step 3: Cross multiply
    5,504,686,898.78x = 8,257,030,348.17 × 5,504,686,898.78
  4. Step 4: Simplify right side
    5,504,686,898.78x = 45,452,366,780,358,975,488
  5. Step 5: Solve for x
    x = 45,452,366,780,358,975,488/5,504,686,898.78
  6. Step 6: Final answer
    x = 8,257,030,348.17

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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.