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Finding the Fourth Proportional to 114,664,549.20, 160,983,865.20 and 114,664,549.20

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Solution

The fourth proportional to 114,664,549.20, 160,983,865.20 and 114,664,549.20 is: 160,983,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,664,549.20 : 160,983,865.20 = 114,664,549.20 : x
  2. Step 2: Convert to fraction form
    114,664,549.20/160,983,865.20 = 114,664,549.20/x
  3. Step 3: Cross multiply
    114,664,549.20x = 160,983,865.20 × 114,664,549.20
  4. Step 4: Simplify right side
    114,664,549.20x = 18,459,142,331,631,568
  5. Step 5: Solve for x
    x = 18,459,142,331,631,568/114,664,549.20
  6. Step 6: Final answer
    x = 160,983,865.20

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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.