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Finding the Fourth Proportional to 524,016,273.20, 786,024,409.80 and 472,997,937.20

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Solution

The fourth proportional to 524,016,273.20, 786,024,409.80 and 472,997,937.20 is: 709,496,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016,273.20 : 786,024,409.80 = 472,997,937.20 : x
  2. Step 2: Convert to fraction form
    524,016,273.20/786,024,409.80 = 472,997,937.20/x
  3. Step 3: Cross multiply
    524,016,273.20x = 786,024,409.80 × 472,997,937.20
  4. Step 4: Simplify right side
    524,016,273.20x = 371,787,924,424,247,424
  5. Step 5: Solve for x
    x = 371,787,924,424,247,424/524,016,273.20
  6. Step 6: Final answer
    x = 709,496,905.80

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1.5x scale

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.