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Finding the Fourth Proportional to 1,007,385,538,504, 1,511,078,307,756.30 and 1,007,385,538,504

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Solution

The fourth proportional to 1,007,385,538,504, 1,511,078,307,756.30 and 1,007,385,538,504 is: 1,511,078,307,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,385,538,504 : 1,511,078,307,756.30 = 1,007,385,538,504 : x
  2. Step 2: Convert to fraction form
    1,007,385,538,504/1,511,078,307,756.30 = 1,007,385,538,504/x
  3. Step 3: Cross multiply
    1,007,385,538,504x = 1,511,078,307,756.30 × 1,007,385,538,504
  4. Step 4: Simplify right side
    1,007,385,538,504x = 1,522,238,434,780,793,467,305,984
  5. Step 5: Solve for x
    x = 1,522,238,434,780,793,467,305,984/1,007,385,538,504
  6. Step 6: Final answer
    x = 1,511,078,307,756.30

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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.