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Finding the Fourth Proportional to 861,144,372,002.10, 1,291,716,558,003.10 and 861,144,372,002.10

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Solution

The fourth proportional to 861,144,372,002.10, 1,291,716,558,003.10 and 861,144,372,002.10 is: 1,291,716,558,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,144,372,002.10 : 1,291,716,558,003.10 = 861,144,372,002.10 : x
  2. Step 2: Convert to fraction form
    861,144,372,002.10/1,291,716,558,003.10 = 861,144,372,002.10/x
  3. Step 3: Cross multiply
    861,144,372,002.10x = 1,291,716,558,003.10 × 861,144,372,002.10
  4. Step 4: Simplify right side
    861,144,372,002.10x = 1,112,354,444,146,293,841,330,176
  5. Step 5: Solve for x
    x = 1,112,354,444,146,293,841,330,176/861,144,372,002.10
  6. Step 6: Final answer
    x = 1,291,716,558,003.10

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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.