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Finding the Fourth Proportional to 421,362,014.40, 632,043,021.60 and 421,362,014.40

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Solution

The fourth proportional to 421,362,014.40, 632,043,021.60 and 421,362,014.40 is: 632,043,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,362,014.40 : 632,043,021.60 = 421,362,014.40 : x
  2. Step 2: Convert to fraction form
    421,362,014.40/632,043,021.60 = 421,362,014.40/x
  3. Step 3: Cross multiply
    421,362,014.40x = 632,043,021.60 × 421,362,014.40
  4. Step 4: Simplify right side
    421,362,014.40x = 266,318,920,768,838,720
  5. Step 5: Solve for x
    x = 266,318,920,768,838,720/421,362,014.40
  6. Step 6: Final answer
    x = 632,043,021.60

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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.