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Finding the Fourth Proportional to 671,781,769.20, 1,007,672,653.80 and 633,518,017.20

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Solution

The fourth proportional to 671,781,769.20, 1,007,672,653.80 and 633,518,017.20 is: 950,277,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,781,769.20 : 1,007,672,653.80 = 633,518,017.20 : x
  2. Step 2: Convert to fraction form
    671,781,769.20/1,007,672,653.80 = 633,518,017.20/x
  3. Step 3: Cross multiply
    671,781,769.20x = 1,007,672,653.80 × 633,518,017.20
  4. Step 4: Simplify right side
    671,781,769.20x = 638,378,781,622,038,016
  5. Step 5: Solve for x
    x = 638,378,781,622,038,016/671,781,769.20
  6. Step 6: Final answer
    x = 950,277,025.80

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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.