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Finding the Fourth Proportional to 333,280,861.90, 465,445,294.10 and 333,280,861.90

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Solution

The fourth proportional to 333,280,861.90, 465,445,294.10 and 333,280,861.90 is: 465,445,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,280,861.90 : 465,445,294.10 = 333,280,861.90 : x
  2. Step 2: Convert to fraction form
    333,280,861.90/465,445,294.10 = 333,280,861.90/x
  3. Step 3: Cross multiply
    333,280,861.90x = 465,445,294.10 × 333,280,861.90
  4. Step 4: Simplify right side
    333,280,861.90x = 155,124,008,784,946,976
  5. Step 5: Solve for x
    x = 155,124,008,784,946,976/333,280,861.90
  6. Step 6: Final answer
    x = 465,445,294.10

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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.