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Finding the Fourth Proportional to 429,726,004.20, 644,589,006.30 and 429,726,004.20

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Solution

The fourth proportional to 429,726,004.20, 644,589,006.30 and 429,726,004.20 is: 644,589,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726,004.20 : 644,589,006.30 = 429,726,004.20 : x
  2. Step 2: Convert to fraction form
    429,726,004.20/644,589,006.30 = 429,726,004.20/x
  3. Step 3: Cross multiply
    429,726,004.20x = 644,589,006.30 × 429,726,004.20
  4. Step 4: Simplify right side
    429,726,004.20x = 276,996,658,028,547,584
  5. Step 5: Solve for x
    x = 276,996,658,028,547,584/429,726,004.20
  6. Step 6: Final answer
    x = 644,589,006.30

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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.