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Finding the Fourth Proportional to 524,588,472.50, 786,920,500.11 and 201,472,344.50

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Solution

The fourth proportional to 524,588,472.50, 786,920,500.11 and 201,472,344.50 is: 302,223,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588,472.50 : 786,920,500.11 = 201,472,344.50 : x
  2. Step 2: Convert to fraction form
    524,588,472.50/786,920,500.11 = 201,472,344.50/x
  3. Step 3: Cross multiply
    524,588,472.50x = 786,920,500.11 × 201,472,344.50
  4. Step 4: Simplify right side
    524,588,472.50x = 158,542,718,092,274,208
  5. Step 5: Solve for x
    x = 158,542,718,092,274,208/524,588,472.50
  6. Step 6: Final answer
    x = 302,223,030.82

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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.