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Finding the Fourth Proportional to 282,208,808.80, 423,313,213.20 and 282,208,808.80

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Solution

The fourth proportional to 282,208,808.80, 423,313,213.20 and 282,208,808.80 is: 423,313,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,208,808.80 : 423,313,213.20 = 282,208,808.80 : x
  2. Step 2: Convert to fraction form
    282,208,808.80/423,313,213.20 = 282,208,808.80/x
  3. Step 3: Cross multiply
    282,208,808.80x = 423,313,213.20 × 282,208,808.80
  4. Step 4: Simplify right side
    282,208,808.80x = 119,462,717,646,472,432
  5. Step 5: Solve for x
    x = 119,462,717,646,472,432/282,208,808.80
  6. Step 6: Final answer
    x = 423,313,213.20

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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.