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Finding the Fourth Proportional to 114,665,348.70, 160,984,984.50 and 114,665,348.70

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Solution

The fourth proportional to 114,665,348.70, 160,984,984.50 and 114,665,348.70 is: 160,984,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,665,348.70 : 160,984,984.50 = 114,665,348.70 : x
  2. Step 2: Convert to fraction form
    114,665,348.70/160,984,984.50 = 114,665,348.70/x
  3. Step 3: Cross multiply
    114,665,348.70x = 160,984,984.50 × 114,665,348.70
  4. Step 4: Simplify right side
    114,665,348.70x = 18,459,399,383,156,596
  5. Step 5: Solve for x
    x = 18,459,399,383,156,596/114,665,348.70
  6. Step 6: Final answer
    x = 160,984,984.50

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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.