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Finding the Fourth Proportional to 319,698,827.40, 479,548,241.10 and 319,698,827.40

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Solution

The fourth proportional to 319,698,827.40, 479,548,241.10 and 319,698,827.40 is: 479,548,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698,827.40 : 479,548,241.10 = 319,698,827.40 : x
  2. Step 2: Convert to fraction form
    319,698,827.40/479,548,241.10 = 319,698,827.40/x
  3. Step 3: Cross multiply
    319,698,827.40x = 479,548,241.10 × 319,698,827.40
  4. Step 4: Simplify right side
    319,698,827.40x = 153,311,010,361,402,496
  5. Step 5: Solve for x
    x = 153,311,010,361,402,496/319,698,827.40
  6. Step 6: Final answer
    x = 479,548,241.10

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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.