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Finding the Fourth Proportional to 524,291,298.48, 786,564,982.80 and 174,536,687.52

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Solution

The fourth proportional to 524,291,298.48, 786,564,982.80 and 174,536,687.52 is: 261,847,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,291,298.48 : 786,564,982.80 = 174,536,687.52 : x
  2. Step 2: Convert to fraction form
    524,291,298.48/786,564,982.80 = 174,536,687.52/x
  3. Step 3: Cross multiply
    524,291,298.48x = 786,564,982.80 × 174,536,687.52
  4. Step 4: Simplify right side
    524,291,298.48x = 137,284,446,617,137,776
  5. Step 5: Solve for x
    x = 137,284,446,617,137,776/524,291,298.48
  6. Step 6: Final answer
    x = 261,847,654.19

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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.