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Finding the Fourth Proportional to 392,078,117.10, 588,117,175.65 and 392,078,117.10

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Solution

The fourth proportional to 392,078,117.10, 588,117,175.65 and 392,078,117.10 is: 588,117,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,078,117.10 : 588,117,175.65 = 392,078,117.10 : x
  2. Step 2: Convert to fraction form
    392,078,117.10/588,117,175.65 = 392,078,117.10/x
  3. Step 3: Cross multiply
    392,078,117.10x = 588,117,175.65 × 392,078,117.10
  4. Step 4: Simplify right side
    392,078,117.10x = 230,587,874,863,021,984
  5. Step 5: Solve for x
    x = 230,587,874,863,021,984/392,078,117.10
  6. Step 6: Final answer
    x = 588,117,175.65

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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.