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Finding the Fourth Proportional to 524,281,412.80, 786,422,119.20 and 524,281,412.80

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Solution

The fourth proportional to 524,281,412.80, 786,422,119.20 and 524,281,412.80 is: 786,422,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,281,412.80 : 786,422,119.20 = 524,281,412.80 : x
  2. Step 2: Convert to fraction form
    524,281,412.80/786,422,119.20 = 524,281,412.80/x
  3. Step 3: Cross multiply
    524,281,412.80x = 786,422,119.20 × 524,281,412.80
  4. Step 4: Simplify right side
    524,281,412.80x = 412,306,499,711,346,048
  5. Step 5: Solve for x
    x = 412,306,499,711,346,048/524,281,412.80
  6. Step 6: Final answer
    x = 786,422,119.20

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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.