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Finding the Fourth Proportional to 264,079,748,138.40, 396,119,622,207.60 and 264,079,748,138.40

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Solution

The fourth proportional to 264,079,748,138.40, 396,119,622,207.60 and 264,079,748,138.40 is: 396,119,622,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,079,748,138.40 : 396,119,622,207.60 = 264,079,748,138.40 : x
  2. Step 2: Convert to fraction form
    264,079,748,138.40/396,119,622,207.60 = 264,079,748,138.40/x
  3. Step 3: Cross multiply
    264,079,748,138.40x = 396,119,622,207.60 × 264,079,748,138.40
  4. Step 4: Simplify right side
    264,079,748,138.40x = 104,607,170,065,261,156,892,672
  5. Step 5: Solve for x
    x = 104,607,170,065,261,156,892,672/264,079,748,138.40
  6. Step 6: Final answer
    x = 396,119,622,207.60

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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.