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Finding the Fourth Proportional to 194,078,463,753.17, 291,117,695,629.78 and 194,078,463,753.17

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Solution

The fourth proportional to 194,078,463,753.17, 291,117,695,629.78 and 194,078,463,753.17 is: 291,117,695,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,078,463,753.17 : 291,117,695,629.78 = 194,078,463,753.17 : x
  2. Step 2: Convert to fraction form
    194,078,463,753.17/291,117,695,629.78 = 194,078,463,753.17/x
  3. Step 3: Cross multiply
    194,078,463,753.17x = 291,117,695,629.78 × 194,078,463,753.17
  4. Step 4: Simplify right side
    194,078,463,753.17x = 56,499,675,139,190,640,607,232
  5. Step 5: Solve for x
    x = 56,499,675,139,190,640,607,232/194,078,463,753.17
  6. Step 6: Final answer
    x = 291,117,695,629.78

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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.