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Finding the Fourth Proportional to 65,407,321.80, 98,110,982.70 and 65,407,321.80

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Solution

The fourth proportional to 65,407,321.80, 98,110,982.70 and 65,407,321.80 is: 98,110,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407,321.80 : 98,110,982.70 = 65,407,321.80 : x
  2. Step 2: Convert to fraction form
    65,407,321.80/98,110,982.70 = 65,407,321.80/x
  3. Step 3: Cross multiply
    65,407,321.80x = 98,110,982.70 × 65,407,321.80
  4. Step 4: Simplify right side
    65,407,321.80x = 6,417,176,617,573,133
  5. Step 5: Solve for x
    x = 6,417,176,617,573,133/65,407,321.80
  6. Step 6: Final answer
    x = 98,110,982.70

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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.