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Finding the Fourth Proportional to 31,213,812.80, 46,820,719.20 and 31,213,812.80

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Solution

The fourth proportional to 31,213,812.80, 46,820,719.20 and 31,213,812.80 is: 46,820,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213,812.80 : 46,820,719.20 = 31,213,812.80 : x
  2. Step 2: Convert to fraction form
    31,213,812.80/46,820,719.20 = 31,213,812.80/x
  3. Step 3: Cross multiply
    31,213,812.80x = 46,820,719.20 × 31,213,812.80
  4. Step 4: Simplify right side
    31,213,812.80x = 1,461,453,164,270,166
  5. Step 5: Solve for x
    x = 1,461,453,164,270,166/31,213,812.80
  6. Step 6: Final answer
    x = 46,820,719.20

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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.