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Finding the Fourth Proportional to 264,692,320.40, 397,038,480.60 and 80,459,440.40

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Solution

The fourth proportional to 264,692,320.40, 397,038,480.60 and 80,459,440.40 is: 120,689,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,692,320.40 : 397,038,480.60 = 80,459,440.40 : x
  2. Step 2: Convert to fraction form
    264,692,320.40/397,038,480.60 = 80,459,440.40/x
  3. Step 3: Cross multiply
    264,692,320.40x = 397,038,480.60 × 80,459,440.40
  4. Step 4: Simplify right side
    264,692,320.40x = 31,945,493,966,342,260
  5. Step 5: Solve for x
    x = 31,945,493,966,342,260/264,692,320.40
  6. Step 6: Final answer
    x = 120,689,160.60

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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.