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Finding the Fourth Proportional to 40,782,307,605.60, 61,173,461,408.40 and 40,782,307,605.60

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Solution

The fourth proportional to 40,782,307,605.60, 61,173,461,408.40 and 40,782,307,605.60 is: 61,173,461,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782,307,605.60 : 61,173,461,408.40 = 40,782,307,605.60 : x
  2. Step 2: Convert to fraction form
    40,782,307,605.60/61,173,461,408.40 = 40,782,307,605.60/x
  3. Step 3: Cross multiply
    40,782,307,605.60x = 61,173,461,408.40 × 40,782,307,605.60
  4. Step 4: Simplify right side
    40,782,307,605.60x = 2,494,794,920,456,669,364,224
  5. Step 5: Solve for x
    x = 2,494,794,920,456,669,364,224/40,782,307,605.60
  6. Step 6: Final answer
    x = 61,173,461,408.40

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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.