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Finding the Fourth Proportional to 686,508,664.40, 1,029,762,996.60 and 686,508,664.40

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Solution

The fourth proportional to 686,508,664.40, 1,029,762,996.60 and 686,508,664.40 is: 1,029,762,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,508,664.40 : 1,029,762,996.60 = 686,508,664.40 : x
  2. Step 2: Convert to fraction form
    686,508,664.40/1,029,762,996.60 = 686,508,664.40/x
  3. Step 3: Cross multiply
    686,508,664.40x = 1,029,762,996.60 × 686,508,664.40
  4. Step 4: Simplify right side
    686,508,664.40x = 706,941,219,444,407,680
  5. Step 5: Solve for x
    x = 706,941,219,444,407,680/686,508,664.40
  6. Step 6: Final answer
    x = 1,029,762,996.60

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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.