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Finding the Fourth Proportional to 12,021,697,358.70, 16,795,977,766.50 and 12,021,697,358.70

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Solution

The fourth proportional to 12,021,697,358.70, 16,795,977,766.50 and 12,021,697,358.70 is: 16,795,977,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021,697,358.70 : 16,795,977,766.50 = 12,021,697,358.70 : x
  2. Step 2: Convert to fraction form
    12,021,697,358.70/16,795,977,766.50 = 12,021,697,358.70/x
  3. Step 3: Cross multiply
    12,021,697,358.70x = 16,795,977,766.50 × 12,021,697,358.70
  4. Step 4: Simplify right side
    12,021,697,358.70x = 201,916,161,552,316,989,440
  5. Step 5: Solve for x
    x = 201,916,161,552,316,989,440/12,021,697,358.70
  6. Step 6: Final answer
    x = 16,795,977,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.