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Finding the Fourth Proportional to 25,214,976,006.60, 37,822,464,009.90 and 25,214,976,006.60

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Solution

The fourth proportional to 25,214,976,006.60, 37,822,464,009.90 and 25,214,976,006.60 is: 37,822,464,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214,976,006.60 : 37,822,464,009.90 = 25,214,976,006.60 : x
  2. Step 2: Convert to fraction form
    25,214,976,006.60/37,822,464,009.90 = 25,214,976,006.60/x
  3. Step 3: Cross multiply
    25,214,976,006.60x = 37,822,464,009.90 × 25,214,976,006.60
  4. Step 4: Simplify right side
    25,214,976,006.60x = 953,692,522,520,120,524,800
  5. Step 5: Solve for x
    x = 953,692,522,520,120,524,800/25,214,976,006.60
  6. Step 6: Final answer
    x = 37,822,464,009.90

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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.