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Finding the Fourth Proportional to 319,698,742.90, 479,548,114.35 and 319,698,742.90

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Solution

The fourth proportional to 319,698,742.90, 479,548,114.35 and 319,698,742.90 is: 479,548,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698,742.90 : 479,548,114.35 = 319,698,742.90 : x
  2. Step 2: Convert to fraction form
    319,698,742.90/479,548,114.35 = 319,698,742.90/x
  3. Step 3: Cross multiply
    319,698,742.90x = 479,548,114.35 × 319,698,742.90
  4. Step 4: Simplify right side
    319,698,742.90x = 153,310,929,317,760,448
  5. Step 5: Solve for x
    x = 153,310,929,317,760,448/319,698,742.90
  6. Step 6: Final answer
    x = 479,548,114.35

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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.