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Finding the Fourth Proportional to 228,895,502,845.20, 343,343,254,267.80 and 228,895,502,845.20

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Solution

The fourth proportional to 228,895,502,845.20, 343,343,254,267.80 and 228,895,502,845.20 is: 343,343,254,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,895,502,845.20 : 343,343,254,267.80 = 228,895,502,845.20 : x
  2. Step 2: Convert to fraction form
    228,895,502,845.20/343,343,254,267.80 = 228,895,502,845.20/x
  3. Step 3: Cross multiply
    228,895,502,845.20x = 343,343,254,267.80 × 228,895,502,845.20
  4. Step 4: Simplify right side
    228,895,502,845.20x = 78,589,726,834,135,450,779,648
  5. Step 5: Solve for x
    x = 78,589,726,834,135,450,779,648/228,895,502,845.20
  6. Step 6: Final answer
    x = 343,343,254,267.80

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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.