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Finding the Fourth Proportional to 6,584,165.60, 9,224,130.40 and 6,584,165.60

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Solution

The fourth proportional to 6,584,165.60, 9,224,130.40 and 6,584,165.60 is: 9,224,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,165.60 : 9,224,130.40 = 6,584,165.60 : x
  2. Step 2: Convert to fraction form
    6,584,165.60/9,224,130.40 = 6,584,165.60/x
  3. Step 3: Cross multiply
    6,584,165.60x = 9,224,130.40 × 6,584,165.60
  4. Step 4: Simplify right side
    6,584,165.60x = 60,733,202,069,594.24
  5. Step 5: Solve for x
    x = 60,733,202,069,594.24/6,584,165.60
  6. Step 6: Final answer
    x = 9,224,130.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.