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Finding the Fourth Proportional to 400,781,738.40, 601,172,607.60 and 400,781,738.40

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Solution

The fourth proportional to 400,781,738.40, 601,172,607.60 and 400,781,738.40 is: 601,172,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,781,738.40 : 601,172,607.60 = 400,781,738.40 : x
  2. Step 2: Convert to fraction form
    400,781,738.40/601,172,607.60 = 400,781,738.40/x
  3. Step 3: Cross multiply
    400,781,738.40x = 601,172,607.60 × 400,781,738.40
  4. Step 4: Simplify right side
    400,781,738.40x = 240,939,002,752,389,056
  5. Step 5: Solve for x
    x = 240,939,002,752,389,056/400,781,738.40
  6. Step 6: Final answer
    x = 601,172,607.60

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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.