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Finding the Fourth Proportional to 468,254,198.93, 646,138,656.18 and 259,358,027.85

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Solution

The fourth proportional to 468,254,198.93, 646,138,656.18 and 259,358,027.85 is: 357,885,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,254,198.93 : 646,138,656.18 = 259,358,027.85 : x
  2. Step 2: Convert to fraction form
    468,254,198.93/646,138,656.18 = 259,358,027.85/x
  3. Step 3: Cross multiply
    468,254,198.93x = 646,138,656.18 × 259,358,027.85
  4. Step 4: Simplify right side
    468,254,198.93x = 167,581,247,584,493,984
  5. Step 5: Solve for x
    x = 167,581,247,584,493,984/468,254,198.93
  6. Step 6: Final answer
    x = 357,885,199.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.