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Finding the Fourth Proportional to 1,657,599,455.80, 2,487,294,978.90 and 737,617,785.40

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Solution

The fourth proportional to 1,657,599,455.80, 2,487,294,978.90 and 737,617,785.40 is: 1,106,825,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,599,455.80 : 2,487,294,978.90 = 737,617,785.40 : x
  2. Step 2: Convert to fraction form
    1,657,599,455.80/2,487,294,978.90 = 737,617,785.40/x
  3. Step 3: Cross multiply
    1,657,599,455.80x = 2,487,294,978.90 × 737,617,785.40
  4. Step 4: Simplify right side
    1,657,599,455.80x = 1,834,673,013,972,757,760
  5. Step 5: Solve for x
    x = 1,834,673,013,972,757,760/1,657,599,455.80
  6. Step 6: Final answer
    x = 1,106,825,299.41

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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.