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Finding the Fourth Proportional to 4,753,467,672,228.40, 7,130,201,508,342.40 and 4,753,467,672,228.40

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Solution

The fourth proportional to 4,753,467,672,228.40, 7,130,201,508,342.40 and 4,753,467,672,228.40 is: 7,130,201,508,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753,467,672,228.40 : 7,130,201,508,342.40 = 4,753,467,672,228.40 : x
  2. Step 2: Convert to fraction form
    4,753,467,672,228.40/7,130,201,508,342.40 = 4,753,467,672,228.40/x
  3. Step 3: Cross multiply
    4,753,467,672,228.40x = 7,130,201,508,342.40 × 4,753,467,672,228.40
  4. Step 4: Simplify right side
    4,753,467,672,228.40x = 33,893,182,366,379,778,557,083,648
  5. Step 5: Solve for x
    x = 33,893,182,366,379,778,557,083,648/4,753,467,672,228.40
  6. Step 6: Final answer
    x = 7,130,201,508,342.40

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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.