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Finding the Fourth Proportional to 451,736,999.40, 676,330,040.70 and 451,736,999.40

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Solution

The fourth proportional to 451,736,999.40, 676,330,040.70 and 451,736,999.40 is: 676,330,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,736,999.40 : 676,330,040.70 = 451,736,999.40 : x
  2. Step 2: Convert to fraction form
    451,736,999.40/676,330,040.70 = 451,736,999.40/x
  3. Step 3: Cross multiply
    451,736,999.40x = 676,330,040.70 × 451,736,999.40
  4. Step 4: Simplify right side
    451,736,999.40x = 305,523,303,189,897,856
  5. Step 5: Solve for x
    x = 305,523,303,189,897,856/451,736,999.40
  6. Step 6: Final answer
    x = 676,330,040.70

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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.