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Finding the Fourth Proportional to 194,018,158,052.70, 291,027,237,079.05 and 194,018,158,052.70

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Solution

The fourth proportional to 194,018,158,052.70, 291,027,237,079.05 and 194,018,158,052.70 is: 291,027,237,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,018,158,052.70 : 291,027,237,079.05 = 194,018,158,052.70 : x
  2. Step 2: Convert to fraction form
    194,018,158,052.70/291,027,237,079.05 = 194,018,158,052.70/x
  3. Step 3: Cross multiply
    194,018,158,052.70x = 291,027,237,079.05 × 194,018,158,052.70
  4. Step 4: Simplify right side
    194,018,158,052.70x = 56,464,568,481,243,717,435,392
  5. Step 5: Solve for x
    x = 56,464,568,481,243,717,435,392/194,018,158,052.70
  6. Step 6: Final answer
    x = 291,027,237,079.05

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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.