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Finding the Fourth Proportional to 150,768,007.80, 226,152,011.70 and 150,768,007.80

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Solution

The fourth proportional to 150,768,007.80, 226,152,011.70 and 150,768,007.80 is: 226,152,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,768,007.80 : 226,152,011.70 = 150,768,007.80 : x
  2. Step 2: Convert to fraction form
    150,768,007.80/226,152,011.70 = 150,768,007.80/x
  3. Step 3: Cross multiply
    150,768,007.80x = 226,152,011.70 × 150,768,007.80
  4. Step 4: Simplify right side
    150,768,007.80x = 34,096,488,263,971,292
  5. Step 5: Solve for x
    x = 34,096,488,263,971,292/150,768,007.80
  6. Step 6: Final answer
    x = 226,152,011.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.