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Finding the Fourth Proportional to 268,376,200.90, 401,997,430.95 and 268,376,200.90

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Solution

The fourth proportional to 268,376,200.90, 401,997,430.95 and 268,376,200.90 is: 401,997,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,376,200.90 : 401,997,430.95 = 268,376,200.90 : x
  2. Step 2: Convert to fraction form
    268,376,200.90/401,997,430.95 = 268,376,200.90/x
  3. Step 3: Cross multiply
    268,376,200.90x = 401,997,430.95 × 268,376,200.90
  4. Step 4: Simplify right side
    268,376,200.90x = 107,886,543,289,921,072
  5. Step 5: Solve for x
    x = 107,886,543,289,921,072/268,376,200.90
  6. Step 6: Final answer
    x = 401,997,430.95

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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.