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Finding the Fourth Proportional to 479,548,233.10, 719,322,349.65 and 479,548,233.10

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Solution

The fourth proportional to 479,548,233.10, 719,322,349.65 and 479,548,233.10 is: 719,322,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,548,233.10 : 719,322,349.65 = 479,548,233.10 : x
  2. Step 2: Convert to fraction form
    479,548,233.10/719,322,349.65 = 479,548,233.10/x
  3. Step 3: Cross multiply
    479,548,233.10x = 719,322,349.65 × 479,548,233.10
  4. Step 4: Simplify right side
    479,548,233.10x = 344,949,761,803,997,888
  5. Step 5: Solve for x
    x = 344,949,761,803,997,888/479,548,233.10
  6. Step 6: Final answer
    x = 719,322,349.65

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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.