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Finding the Fourth Proportional to 194,078,463,763.05, 291,117,695,644.57 and 194,078,463,763.05

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Solution

The fourth proportional to 194,078,463,763.05, 291,117,695,644.57 and 194,078,463,763.05 is: 291,117,695,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,078,463,763.05 : 291,117,695,644.57 = 194,078,463,763.05 : x
  2. Step 2: Convert to fraction form
    194,078,463,763.05/291,117,695,644.57 = 194,078,463,763.05/x
  3. Step 3: Cross multiply
    194,078,463,763.05x = 291,117,695,644.57 × 194,078,463,763.05
  4. Step 4: Simplify right side
    194,078,463,763.05x = 56,499,675,144,937,298,460,672
  5. Step 5: Solve for x
    x = 56,499,675,144,937,298,460,672/194,078,463,763.05
  6. Step 6: Final answer
    x = 291,117,695,644.57

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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.