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Finding the Fourth Proportional to 429,381,022.35, 644,071,533.53 and 429,381,022.35

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Solution

The fourth proportional to 429,381,022.35, 644,071,533.53 and 429,381,022.35 is: 644,071,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381,022.35 : 644,071,533.53 = 429,381,022.35 : x
  2. Step 2: Convert to fraction form
    429,381,022.35/644,071,533.53 = 429,381,022.35/x
  3. Step 3: Cross multiply
    429,381,022.35x = 644,071,533.53 × 429,381,022.35
  4. Step 4: Simplify right side
    429,381,022.35x = 276,552,093,531,496,800
  5. Step 5: Solve for x
    x = 276,552,093,531,496,800/429,381,022.35
  6. Step 6: Final answer
    x = 644,071,533.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.