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Finding the Fourth Proportional to 1,019,935,999.80, 1,529,903,999.70 and 330,338,158.20

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Solution

The fourth proportional to 1,019,935,999.80, 1,529,903,999.70 and 330,338,158.20 is: 495,507,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,935,999.80 : 1,529,903,999.70 = 330,338,158.20 : x
  2. Step 2: Convert to fraction form
    1,019,935,999.80/1,529,903,999.70 = 330,338,158.20/x
  3. Step 3: Cross multiply
    1,019,935,999.80x = 1,529,903,999.70 × 330,338,158.20
  4. Step 4: Simplify right side
    1,019,935,999.80x = 505,385,669,483,711,360
  5. Step 5: Solve for x
    x = 505,385,669,483,711,360/1,019,935,999.80
  6. Step 6: Final answer
    x = 495,507,237.30

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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.