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Finding the Fourth Proportional to 405,825,902.80, 608,738,854.20 and 405,825,902.80

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Solution

The fourth proportional to 405,825,902.80, 608,738,854.20 and 405,825,902.80 is: 608,738,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825,902.80 : 608,738,854.20 = 405,825,902.80 : x
  2. Step 2: Convert to fraction form
    405,825,902.80/608,738,854.20 = 405,825,902.80/x
  3. Step 3: Cross multiply
    405,825,902.80x = 608,738,854.20 × 405,825,902.80
  4. Step 4: Simplify right side
    405,825,902.80x = 247,041,995,075,152,608
  5. Step 5: Solve for x
    x = 247,041,995,075,152,608/405,825,902.80
  6. Step 6: Final answer
    x = 608,738,854.20

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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.