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Finding the Fourth Proportional to 392,472,180,415.20, 588,708,270,622.80 and 392,472,180,415.20

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Solution

The fourth proportional to 392,472,180,415.20, 588,708,270,622.80 and 392,472,180,415.20 is: 588,708,270,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472,180,415.20 : 588,708,270,622.80 = 392,472,180,415.20 : x
  2. Step 2: Convert to fraction form
    392,472,180,415.20/588,708,270,622.80 = 392,472,180,415.20/x
  3. Step 3: Cross multiply
    392,472,180,415.20x = 588,708,270,622.80 × 392,472,180,415.20
  4. Step 4: Simplify right side
    392,472,180,415.20x = 231,051,618,599,791,973,367,808
  5. Step 5: Solve for x
    x = 231,051,618,599,791,973,367,808/392,472,180,415.20
  6. Step 6: Final answer
    x = 588,708,270,622.80

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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.