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Finding the Fourth Proportional to 57,462,006.40, 86,193,009.60 and 57,462,006.40

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Solution

The fourth proportional to 57,462,006.40, 86,193,009.60 and 57,462,006.40 is: 86,193,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462,006.40 : 86,193,009.60 = 57,462,006.40 : x
  2. Step 2: Convert to fraction form
    57,462,006.40/86,193,009.60 = 57,462,006.40/x
  3. Step 3: Cross multiply
    57,462,006.40x = 86,193,009.60 × 57,462,006.40
  4. Step 4: Simplify right side
    57,462,006.40x = 4,952,823,269,270,461
  5. Step 5: Solve for x
    x = 4,952,823,269,270,461/57,462,006.40
  6. Step 6: Final answer
    x = 86,193,009.60

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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.