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Finding the Fourth Proportional to 194,078,463,963.55, 291,117,695,945.33 and 194,078,463,963.55

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Solution

The fourth proportional to 194,078,463,963.55, 291,117,695,945.33 and 194,078,463,963.55 is: 291,117,695,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,078,463,963.55 : 291,117,695,945.33 = 194,078,463,963.55 : x
  2. Step 2: Convert to fraction form
    194,078,463,963.55/291,117,695,945.33 = 194,078,463,963.55/x
  3. Step 3: Cross multiply
    194,078,463,963.55x = 291,117,695,945.33 × 194,078,463,963.55
  4. Step 4: Simplify right side
    194,078,463,963.55x = 56,499,675,261,677,437,190,144
  5. Step 5: Solve for x
    x = 56,499,675,261,677,437,190,144/194,078,463,963.55
  6. Step 6: Final answer
    x = 291,117,695,945.33

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Why These Related Problems?

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