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Finding the Fourth Proportional to 25,754,142,783.90, 38,631,214,175.85 and 25,754,142,783.90

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Solution

The fourth proportional to 25,754,142,783.90, 38,631,214,175.85 and 25,754,142,783.90 is: 38,631,214,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754,142,783.90 : 38,631,214,175.85 = 25,754,142,783.90 : x
  2. Step 2: Convert to fraction form
    25,754,142,783.90/38,631,214,175.85 = 25,754,142,783.90/x
  3. Step 3: Cross multiply
    25,754,142,783.90x = 38,631,214,175.85 × 25,754,142,783.90
  4. Step 4: Simplify right side
    25,754,142,783.90x = 994,913,805,800,262,729,728
  5. Step 5: Solve for x
    x = 994,913,805,800,262,729,728/25,754,142,783.90
  6. Step 6: Final answer
    x = 38,631,214,175.85

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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.