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Finding the Fourth Proportional to 524,672,023.10, 787,008,034.65 and 161,184,458.30

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Solution

The fourth proportional to 524,672,023.10, 787,008,034.65 and 161,184,458.30 is: 241,776,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,672,023.10 : 787,008,034.65 = 161,184,458.30 : x
  2. Step 2: Convert to fraction form
    524,672,023.10/787,008,034.65 = 161,184,458.30/x
  3. Step 3: Cross multiply
    524,672,023.10x = 787,008,034.65 × 161,184,458.30
  4. Step 4: Simplify right side
    524,672,023.10x = 126,853,463,742,807,888
  5. Step 5: Solve for x
    x = 126,853,463,742,807,888/524,672,023.10
  6. Step 6: Final answer
    x = 241,776,687.45

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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.