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Finding the Fourth Proportional to 40,425,964,004.80, 60,638,946,007.21 and 40,425,964,004.80

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Solution

The fourth proportional to 40,425,964,004.80, 60,638,946,007.21 and 40,425,964,004.80 is: 60,638,946,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425,964,004.80 : 60,638,946,007.21 = 40,425,964,004.80 : x
  2. Step 2: Convert to fraction form
    40,425,964,004.80/60,638,946,007.21 = 40,425,964,004.80/x
  3. Step 3: Cross multiply
    40,425,964,004.80x = 60,638,946,007.21 × 40,425,964,004.80
  4. Step 4: Simplify right side
    40,425,964,004.80x = 2,451,387,848,576,482,148,352
  5. Step 5: Solve for x
    x = 2,451,387,848,576,482,148,352/40,425,964,004.80
  6. Step 6: Final answer
    x = 60,638,946,007.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.