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Finding the Fourth Proportional to 143,977,338,003.30, 201,072,374,978.70 and 143,977,338,003.30

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Solution

The fourth proportional to 143,977,338,003.30, 201,072,374,978.70 and 143,977,338,003.30 is: 201,072,374,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,977,338,003.30 : 201,072,374,978.70 = 143,977,338,003.30 : x
  2. Step 2: Convert to fraction form
    143,977,338,003.30/201,072,374,978.70 = 143,977,338,003.30/x
  3. Step 3: Cross multiply
    143,977,338,003.30x = 201,072,374,978.70 × 143,977,338,003.30
  4. Step 4: Simplify right side
    143,977,338,003.30x = 28,949,865,295,434,569,744,384
  5. Step 5: Solve for x
    x = 28,949,865,295,434,569,744,384/143,977,338,003.30
  6. Step 6: Final answer
    x = 201,072,374,978.70

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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.