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Finding the Fourth Proportional to 99,670,200.30, 149,505,300.45 and 99,670,200.30

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Solution

The fourth proportional to 99,670,200.30, 149,505,300.45 and 99,670,200.30 is: 149,505,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,670,200.30 : 149,505,300.45 = 99,670,200.30 : x
  2. Step 2: Convert to fraction form
    99,670,200.30/149,505,300.45 = 99,670,200.30/x
  3. Step 3: Cross multiply
    99,670,200.30x = 149,505,300.45 × 99,670,200.30
  4. Step 4: Simplify right side
    99,670,200.30x = 14,901,223,241,763,178
  5. Step 5: Solve for x
    x = 14,901,223,241,763,178/99,670,200.30
  6. Step 6: Final answer
    x = 149,505,300.45

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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.