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Finding the Fourth Proportional to 43,578,162,005.60, 65,367,243,008.40 and 43,578,162,005.60

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Solution

The fourth proportional to 43,578,162,005.60, 65,367,243,008.40 and 43,578,162,005.60 is: 65,367,243,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578,162,005.60 : 65,367,243,008.40 = 43,578,162,005.60 : x
  2. Step 2: Convert to fraction form
    43,578,162,005.60/65,367,243,008.40 = 43,578,162,005.60/x
  3. Step 3: Cross multiply
    43,578,162,005.60x = 65,367,243,008.40 × 43,578,162,005.60
  4. Step 4: Simplify right side
    43,578,162,005.60x = 2,848,584,305,679,479,078,912
  5. Step 5: Solve for x
    x = 2,848,584,305,679,479,078,912/43,578,162,005.60
  6. Step 6: Final answer
    x = 65,367,243,008.40

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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.