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Finding the Fourth Proportional to 52,154,388,037.20, 78,231,582,055.80 and 52,154,388,037.20

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Solution

The fourth proportional to 52,154,388,037.20, 78,231,582,055.80 and 52,154,388,037.20 is: 78,231,582,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154,388,037.20 : 78,231,582,055.80 = 52,154,388,037.20 : x
  2. Step 2: Convert to fraction form
    52,154,388,037.20/78,231,582,055.80 = 52,154,388,037.20/x
  3. Step 3: Cross multiply
    52,154,388,037.20x = 78,231,582,055.80 × 52,154,388,037.20
  4. Step 4: Simplify right side
    52,154,388,037.20x = 4,080,120,287,302,245,679,104
  5. Step 5: Solve for x
    x = 4,080,120,287,302,245,679,104/52,154,388,037.20
  6. Step 6: Final answer
    x = 78,231,582,055.80

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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.