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Finding the Fourth Proportional to 686,405,135.60, 1,029,607,703.40 and 686,405,135.60

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Solution

The fourth proportional to 686,405,135.60, 1,029,607,703.40 and 686,405,135.60 is: 1,029,607,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,405,135.60 : 1,029,607,703.40 = 686,405,135.60 : x
  2. Step 2: Convert to fraction form
    686,405,135.60/1,029,607,703.40 = 686,405,135.60/x
  3. Step 3: Cross multiply
    686,405,135.60x = 1,029,607,703.40 × 686,405,135.60
  4. Step 4: Simplify right side
    686,405,135.60x = 706,728,015,267,081,600
  5. Step 5: Solve for x
    x = 706,728,015,267,081,600/686,405,135.60
  6. Step 6: Final answer
    x = 1,029,607,703.40

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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.