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Finding the Fourth Proportional to 65,664,009.90, 98,496,014.85 and 65,664,009.90

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Solution

The fourth proportional to 65,664,009.90, 98,496,014.85 and 65,664,009.90 is: 98,496,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664,009.90 : 98,496,014.85 = 65,664,009.90 : x
  2. Step 2: Convert to fraction form
    65,664,009.90/98,496,014.85 = 65,664,009.90/x
  3. Step 3: Cross multiply
    65,664,009.90x = 98,496,014.85 × 65,664,009.90
  4. Step 4: Simplify right side
    65,664,009.90x = 6,467,643,294,220,946
  5. Step 5: Solve for x
    x = 6,467,643,294,220,946/65,664,009.90
  6. Step 6: Final answer
    x = 98,496,014.85

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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.