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Finding the Fourth Proportional to 686,405,337.60, 1,029,608,006.40 and 686,405,337.60

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Solution

The fourth proportional to 686,405,337.60, 1,029,608,006.40 and 686,405,337.60 is: 1,029,608,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,405,337.60 : 1,029,608,006.40 = 686,405,337.60 : x
  2. Step 2: Convert to fraction form
    686,405,337.60/1,029,608,006.40 = 686,405,337.60/x
  3. Step 3: Cross multiply
    686,405,337.60x = 1,029,608,006.40 × 686,405,337.60
  4. Step 4: Simplify right side
    686,405,337.60x = 706,728,431,228,654,976
  5. Step 5: Solve for x
    x = 706,728,431,228,654,976/686,405,337.60
  6. Step 6: Final answer
    x = 1,029,608,006.40

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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.