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Finding the Fourth Proportional to 589,002,887,357.60, 883,504,331,036.40 and 589,002,887,357.60

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Solution

The fourth proportional to 589,002,887,357.60, 883,504,331,036.40 and 589,002,887,357.60 is: 883,504,331,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,002,887,357.60 : 883,504,331,036.40 = 589,002,887,357.60 : x
  2. Step 2: Convert to fraction form
    589,002,887,357.60/883,504,331,036.40 = 589,002,887,357.60/x
  3. Step 3: Cross multiply
    589,002,887,357.60x = 883,504,331,036.40 × 589,002,887,357.60
  4. Step 4: Simplify right side
    589,002,887,357.60x = 520,386,601,973,384,413,708,288
  5. Step 5: Solve for x
    x = 520,386,601,973,384,413,708,288/589,002,887,357.60
  6. Step 6: Final answer
    x = 883,504,331,036.40

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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.