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Finding the Fourth Proportional to 272,958,598.20, 409,437,897.30 and 272,958,598.20

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Solution

The fourth proportional to 272,958,598.20, 409,437,897.30 and 272,958,598.20 is: 409,437,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,958,598.20 : 409,437,897.30 = 272,958,598.20 : x
  2. Step 2: Convert to fraction form
    272,958,598.20/409,437,897.30 = 272,958,598.20/x
  3. Step 3: Cross multiply
    272,958,598.20x = 409,437,897.30 × 272,958,598.20
  4. Step 4: Simplify right side
    272,958,598.20x = 111,759,594,496,963,568
  5. Step 5: Solve for x
    x = 111,759,594,496,963,568/272,958,598.20
  6. Step 6: Final answer
    x = 409,437,897.30

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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.