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Finding the Fourth Proportional to 228,098,415.30, 320,143,997.10 and 228,098,415.30

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Solution

The fourth proportional to 228,098,415.30, 320,143,997.10 and 228,098,415.30 is: 320,143,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098,415.30 : 320,143,997.10 = 228,098,415.30 : x
  2. Step 2: Convert to fraction form
    228,098,415.30/320,143,997.10 = 228,098,415.30/x
  3. Step 3: Cross multiply
    228,098,415.30x = 320,143,997.10 × 228,098,415.30
  4. Step 4: Simplify right side
    228,098,415.30x = 73,024,338,406,317,808
  5. Step 5: Solve for x
    x = 73,024,338,406,317,808/228,098,415.30
  6. Step 6: Final answer
    x = 320,143,997.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.