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Finding the Fourth Proportional to 551,123,999.80, 826,685,999.70 and 495,003,830.20

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Solution

The fourth proportional to 551,123,999.80, 826,685,999.70 and 495,003,830.20 is: 742,505,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,123,999.80 : 826,685,999.70 = 495,003,830.20 : x
  2. Step 2: Convert to fraction form
    551,123,999.80/826,685,999.70 = 495,003,830.20/x
  3. Step 3: Cross multiply
    551,123,999.80x = 826,685,999.70 × 495,003,830.20
  4. Step 4: Simplify right side
    551,123,999.80x = 409,212,736,224,216,064
  5. Step 5: Solve for x
    x = 409,212,736,224,216,064/551,123,999.80
  6. Step 6: Final answer
    x = 742,505,745.30

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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.