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Finding the Fourth Proportional to 1,007,907,381,004.70, 1,511,861,071,507 and 1,007,907,381,004.70

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Solution

The fourth proportional to 1,007,907,381,004.70, 1,511,861,071,507 and 1,007,907,381,004.70 is: 1,511,861,071,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,907,381,004.70 : 1,511,861,071,507 = 1,007,907,381,004.70 : x
  2. Step 2: Convert to fraction form
    1,007,907,381,004.70/1,511,861,071,507 = 1,007,907,381,004.70/x
  3. Step 3: Cross multiply
    1,007,907,381,004.70x = 1,511,861,071,507 × 1,007,907,381,004.70
  4. Step 4: Simplify right side
    1,007,907,381,004.70x = 1,523,815,933,025,579,740,168,192
  5. Step 5: Solve for x
    x = 1,523,815,933,025,579,740,168,192/1,007,907,381,004.70
  6. Step 6: Final answer
    x = 1,511,861,071,507

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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.