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Finding the Fourth Proportional to 141,441,139,969.30, 212,161,709,953.95 and 141,441,139,969.30

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Solution

The fourth proportional to 141,441,139,969.30, 212,161,709,953.95 and 141,441,139,969.30 is: 212,161,709,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,441,139,969.30 : 212,161,709,953.95 = 141,441,139,969.30 : x
  2. Step 2: Convert to fraction form
    141,441,139,969.30/212,161,709,953.95 = 141,441,139,969.30/x
  3. Step 3: Cross multiply
    141,441,139,969.30x = 212,161,709,953.95 × 141,441,139,969.30
  4. Step 4: Simplify right side
    141,441,139,969.30x = 30,008,394,113,722,670,383,104
  5. Step 5: Solve for x
    x = 30,008,394,113,722,670,383,104/141,441,139,969.30
  6. Step 6: Final answer
    x = 212,161,709,953.95

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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.