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Finding the Fourth Proportional to 429,727,483.65, 644,591,225.48 and 429,727,483.65

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Solution

The fourth proportional to 429,727,483.65, 644,591,225.48 and 429,727,483.65 is: 644,591,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,727,483.65 : 644,591,225.48 = 429,727,483.65 : x
  2. Step 2: Convert to fraction form
    429,727,483.65/644,591,225.48 = 429,727,483.65/x
  3. Step 3: Cross multiply
    429,727,483.65x = 644,591,225.48 × 429,727,483.65
  4. Step 4: Simplify right side
    429,727,483.65x = 276,998,565,306,241,536
  5. Step 5: Solve for x
    x = 276,998,565,306,241,536/429,727,483.65
  6. Step 6: Final answer
    x = 644,591,225.48

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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.