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Finding the Fourth Proportional to 429,335,429.10, 644,003,143.65 and 429,335,429.10

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Solution

The fourth proportional to 429,335,429.10, 644,003,143.65 and 429,335,429.10 is: 644,003,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,335,429.10 : 644,003,143.65 = 429,335,429.10 : x
  2. Step 2: Convert to fraction form
    429,335,429.10/644,003,143.65 = 429,335,429.10/x
  3. Step 3: Cross multiply
    429,335,429.10x = 644,003,143.65 × 429,335,429.10
  4. Step 4: Simplify right side
    429,335,429.10x = 276,493,366,020,721,696
  5. Step 5: Solve for x
    x = 276,493,366,020,721,696/429,335,429.10
  6. Step 6: Final answer
    x = 644,003,143.65

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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.