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Finding the Fourth Proportional to 269,021,683.20, 402,894,795.60 and 269,021,683.20

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Solution

The fourth proportional to 269,021,683.20, 402,894,795.60 and 269,021,683.20 is: 402,894,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,021,683.20 : 402,894,795.60 = 269,021,683.20 : x
  2. Step 2: Convert to fraction form
    269,021,683.20/402,894,795.60 = 269,021,683.20/x
  3. Step 3: Cross multiply
    269,021,683.20x = 402,894,795.60 × 269,021,683.20
  4. Step 4: Simplify right side
    269,021,683.20x = 108,387,436,064,831,952
  5. Step 5: Solve for x
    x = 108,387,436,064,831,952/269,021,683.20
  6. Step 6: Final answer
    x = 402,894,795.60

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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.