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Finding the Fourth Proportional to 429,753,181.95, 644,629,772.93 and 429,753,181.95

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Solution

The fourth proportional to 429,753,181.95, 644,629,772.93 and 429,753,181.95 is: 644,629,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,753,181.95 : 644,629,772.93 = 429,753,181.95 : x
  2. Step 2: Convert to fraction form
    429,753,181.95/644,629,772.93 = 429,753,181.95/x
  3. Step 3: Cross multiply
    429,753,181.95x = 644,629,772.93 × 429,753,181.95
  4. Step 4: Simplify right side
    429,753,181.95x = 277,031,696,094,224,672
  5. Step 5: Solve for x
    x = 277,031,696,094,224,672/429,753,181.95
  6. Step 6: Final answer
    x = 644,629,772.93

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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.