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Finding the Fourth Proportional to 421,848,009.90, 590,990,321.70 and 421,848,009.90

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Solution

The fourth proportional to 421,848,009.90, 590,990,321.70 and 421,848,009.90 is: 590,990,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848,009.90 : 590,990,321.70 = 421,848,009.90 : x
  2. Step 2: Convert to fraction form
    421,848,009.90/590,990,321.70 = 421,848,009.90/x
  3. Step 3: Cross multiply
    421,848,009.90x = 590,990,321.70 × 421,848,009.90
  4. Step 4: Simplify right side
    421,848,009.90x = 249,308,091,079,305,792
  5. Step 5: Solve for x
    x = 249,308,091,079,305,792/421,848,009.90
  6. Step 6: Final answer
    x = 590,990,321.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.