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Finding the Fourth Proportional to 392,078,109.60, 588,117,164.40 and 392,078,109.60

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Solution

The fourth proportional to 392,078,109.60, 588,117,164.40 and 392,078,109.60 is: 588,117,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,078,109.60 : 588,117,164.40 = 392,078,109.60 : x
  2. Step 2: Convert to fraction form
    392,078,109.60/588,117,164.40 = 392,078,109.60/x
  3. Step 3: Cross multiply
    392,078,109.60x = 588,117,164.40 × 392,078,109.60
  4. Step 4: Simplify right side
    392,078,109.60x = 230,587,866,041,264,416
  5. Step 5: Solve for x
    x = 230,587,866,041,264,416/392,078,109.60
  6. Step 6: Final answer
    x = 588,117,164.40

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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.