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Finding the Fourth Proportional to 618,189,816.70, 867,761,568.50 and 618,189,816.70

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Solution

The fourth proportional to 618,189,816.70, 867,761,568.50 and 618,189,816.70 is: 867,761,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,189,816.70 : 867,761,568.50 = 618,189,816.70 : x
  2. Step 2: Convert to fraction form
    618,189,816.70/867,761,568.50 = 618,189,816.70/x
  3. Step 3: Cross multiply
    618,189,816.70x = 867,761,568.50 × 618,189,816.70
  4. Step 4: Simplify right side
    618,189,816.70x = 536,441,364,970,319,552
  5. Step 5: Solve for x
    x = 536,441,364,970,319,552/618,189,816.70
  6. Step 6: Final answer
    x = 867,761,568.50

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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.