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Finding the Fourth Proportional to 76,937,446,819.20, 115,406,170,228.80 and 76,937,446,819.20

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Solution

The fourth proportional to 76,937,446,819.20, 115,406,170,228.80 and 76,937,446,819.20 is: 115,406,170,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937,446,819.20 : 115,406,170,228.80 = 76,937,446,819.20 : x
  2. Step 2: Convert to fraction form
    76,937,446,819.20/115,406,170,228.80 = 76,937,446,819.20/x
  3. Step 3: Cross multiply
    76,937,446,819.20x = 115,406,170,228.80 × 76,937,446,819.20
  4. Step 4: Simplify right side
    76,937,446,819.20x = 8,879,056,084,585,842,475,008
  5. Step 5: Solve for x
    x = 8,879,056,084,585,842,475,008/76,937,446,819.20
  6. Step 6: Final answer
    x = 115,406,170,228.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.