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Finding the Fourth Proportional to 580,652,024.30, 870,978,036.45 and 257,535,896.30

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Solution

The fourth proportional to 580,652,024.30, 870,978,036.45 and 257,535,896.30 is: 386,303,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,652,024.30 : 870,978,036.45 = 257,535,896.30 : x
  2. Step 2: Convert to fraction form
    580,652,024.30/870,978,036.45 = 257,535,896.30/x
  3. Step 3: Cross multiply
    580,652,024.30x = 870,978,036.45 × 257,535,896.30
  4. Step 4: Simplify right side
    580,652,024.30x = 224,308,109,274,764,832
  5. Step 5: Solve for x
    x = 224,308,109,274,764,832/580,652,024.30
  6. Step 6: Final answer
    x = 386,303,844.45

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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.