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Finding the Fourth Proportional to 46,962,047.20, 65,612,496.80 and 46,962,047.20

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Solution

The fourth proportional to 46,962,047.20, 65,612,496.80 and 46,962,047.20 is: 65,612,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,962,047.20 : 65,612,496.80 = 46,962,047.20 : x
  2. Step 2: Convert to fraction form
    46,962,047.20/65,612,496.80 = 46,962,047.20/x
  3. Step 3: Cross multiply
    46,962,047.20x = 65,612,496.80 × 46,962,047.20
  4. Step 4: Simplify right side
    46,962,047.20x = 3,081,297,171,631,449
  5. Step 5: Solve for x
    x = 3,081,297,171,631,449/46,962,047.20
  6. Step 6: Final answer
    x = 65,612,496.80

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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.