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Finding the Fourth Proportional to 433,751,901.60, 650,623,705.20 and 106,228,855.20

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Solution

The fourth proportional to 433,751,901.60, 650,623,705.20 and 106,228,855.20 is: 159,342,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,751,901.60 : 650,623,705.20 = 106,228,855.20 : x
  2. Step 2: Convert to fraction form
    433,751,901.60/650,623,705.20 = 106,228,855.20/x
  3. Step 3: Cross multiply
    433,751,901.60x = 650,623,705.20 × 106,228,855.20
  4. Step 4: Simplify right side
    433,751,901.60x = 69,115,011,369,378,296
  5. Step 5: Solve for x
    x = 69,115,011,369,378,296/433,751,901.60
  6. Step 6: Final answer
    x = 159,342,267.12

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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.