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Finding the Fourth Proportional to 307,544,689,211.80, 461,317,033,817.70 and 307,544,689,211.80

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Solution

The fourth proportional to 307,544,689,211.80, 461,317,033,817.70 and 307,544,689,211.80 is: 461,317,033,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,544,689,211.80 : 461,317,033,817.70 = 307,544,689,211.80 : x
  2. Step 2: Convert to fraction form
    307,544,689,211.80/461,317,033,817.70 = 307,544,689,211.80/x
  3. Step 3: Cross multiply
    307,544,689,211.80x = 461,317,033,817.70 × 307,544,689,211.80
  4. Step 4: Simplify right side
    307,544,689,211.80x = 141,875,603,793,573,968,871,424
  5. Step 5: Solve for x
    x = 141,875,603,793,573,968,871,424/307,544,689,211.80
  6. Step 6: Final answer
    x = 461,317,033,817.70

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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.