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Finding the Fourth Proportional to 333,280,104.40, 465,444,233.60 and 333,280,104.40

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Solution

The fourth proportional to 333,280,104.40, 465,444,233.60 and 333,280,104.40 is: 465,444,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,280,104.40 : 465,444,233.60 = 333,280,104.40 : x
  2. Step 2: Convert to fraction form
    333,280,104.40/465,444,233.60 = 333,280,104.40/x
  3. Step 3: Cross multiply
    333,280,104.40x = 465,444,233.60 × 333,280,104.40
  4. Step 4: Simplify right side
    333,280,104.40x = 155,123,302,766,585,984
  5. Step 5: Solve for x
    x = 155,123,302,766,585,984/333,280,104.40
  6. Step 6: Final answer
    x = 465,444,233.60

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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.