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Finding the Fourth Proportional to 272,950,698.40, 409,426,047.60 and 272,950,698.40

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Solution

The fourth proportional to 272,950,698.40, 409,426,047.60 and 272,950,698.40 is: 409,426,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,950,698.40 : 409,426,047.60 = 272,950,698.40 : x
  2. Step 2: Convert to fraction form
    272,950,698.40/409,426,047.60 = 272,950,698.40/x
  3. Step 3: Cross multiply
    272,950,698.40x = 409,426,047.60 × 272,950,698.40
  4. Step 4: Simplify right side
    272,950,698.40x = 111,753,125,635,571,648
  5. Step 5: Solve for x
    x = 111,753,125,635,571,648/272,950,698.40
  6. Step 6: Final answer
    x = 409,426,047.60

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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.