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Finding the Fourth Proportional to 407,529,940.80, 611,294,911.20 and 407,529,940.80

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Solution

The fourth proportional to 407,529,940.80, 611,294,911.20 and 407,529,940.80 is: 611,294,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,529,940.80 : 611,294,911.20 = 407,529,940.80 : x
  2. Step 2: Convert to fraction form
    407,529,940.80/611,294,911.20 = 407,529,940.80/x
  3. Step 3: Cross multiply
    407,529,940.80x = 611,294,911.20 × 407,529,940.80
  4. Step 4: Simplify right side
    407,529,940.80x = 249,120,978,972,677,280
  5. Step 5: Solve for x
    x = 249,120,978,972,677,280/407,529,940.80
  6. Step 6: Final answer
    x = 611,294,911.20

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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.