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Finding the Fourth Proportional to 468,483,687.93, 646,507,550.64 and 259,653,312.75

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Solution

The fourth proportional to 468,483,687.93, 646,507,550.64 and 259,653,312.75 is: 358,321,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,483,687.93 : 646,507,550.64 = 259,653,312.75 : x
  2. Step 2: Convert to fraction form
    468,483,687.93/646,507,550.64 = 259,653,312.75/x
  3. Step 3: Cross multiply
    468,483,687.93x = 646,507,550.64 × 259,653,312.75
  4. Step 4: Simplify right side
    468,483,687.93x = 167,867,827,238,331,840
  5. Step 5: Solve for x
    x = 167,867,827,238,331,840/468,483,687.93
  6. Step 6: Final answer
    x = 358,321,605.57

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Why These Related Problems?

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