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Finding the Fourth Proportional to 1,000,196,027.54, 1,499,712,494.00 and 378,459,288.50

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Solution

The fourth proportional to 1,000,196,027.54, 1,499,712,494.00 and 378,459,288.50 is: 567,468,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,196,027.54 : 1,499,712,494.00 = 378,459,288.50 : x
  2. Step 2: Convert to fraction form
    1,000,196,027.54/1,499,712,494.00 = 378,459,288.50/x
  3. Step 3: Cross multiply
    1,000,196,027.54x = 1,499,712,494.00 × 378,459,288.50
  4. Step 4: Simplify right side
    1,000,196,027.54x = 567,580,123,424,409,600
  5. Step 5: Solve for x
    x = 567,580,123,424,409,600/1,000,196,027.54
  6. Step 6: Final answer
    x = 567,468,883.90

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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.