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Finding the Fourth Proportional to 398,086,751,999.60, 597,130,127,999.40 and 398,086,751,999.60

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Solution

The fourth proportional to 398,086,751,999.60, 597,130,127,999.40 and 398,086,751,999.60 is: 597,130,127,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,086,751,999.60 : 597,130,127,999.40 = 398,086,751,999.60 : x
  2. Step 2: Convert to fraction form
    398,086,751,999.60/597,130,127,999.40 = 398,086,751,999.60/x
  3. Step 3: Cross multiply
    398,086,751,999.60x = 597,130,127,999.40 × 398,086,751,999.60
  4. Step 4: Simplify right side
    398,086,751,999.60x = 237,709,593,176,386,557,706,240
  5. Step 5: Solve for x
    x = 237,709,593,176,386,557,706,240/398,086,751,999.60
  6. Step 6: Final answer
    x = 597,130,127,999.40

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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.