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Finding the Fourth Proportional to 99,657,105.70, 149,202,223.35 and 99,657,105.70

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Solution

The fourth proportional to 99,657,105.70, 149,202,223.35 and 99,657,105.70 is: 149,202,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657,105.70 : 149,202,223.35 = 99,657,105.70 : x
  2. Step 2: Convert to fraction form
    99,657,105.70/149,202,223.35 = 99,657,105.70/x
  3. Step 3: Cross multiply
    99,657,105.70x = 149,202,223.35 × 99,657,105.70
  4. Step 4: Simplify right side
    99,657,105.70x = 14,869,061,743,065,958
  5. Step 5: Solve for x
    x = 14,869,061,743,065,958/99,657,105.70
  6. Step 6: Final answer
    x = 149,202,223.35

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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.