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Finding the Fourth Proportional to 288,644,604.46, 432,966,898.32 and 133,152,407.30

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Solution

The fourth proportional to 288,644,604.46, 432,966,898.32 and 133,152,407.30 is: 199,728,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,644,604.46 : 432,966,898.32 = 133,152,407.30 : x
  2. Step 2: Convert to fraction form
    288,644,604.46/432,966,898.32 = 133,152,407.30/x
  3. Step 3: Cross multiply
    288,644,604.46x = 432,966,898.32 × 133,152,407.30
  4. Step 4: Simplify right side
    288,644,604.46x = 57,650,584,791,856,560
  5. Step 5: Solve for x
    x = 57,650,584,791,856,560/288,644,604.46
  6. Step 6: Final answer
    x = 199,728,607.09

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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.