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Finding the Fourth Proportional to 508,957,792.19, 762,014,336.54 and 274,950,147.95

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Solution

The fourth proportional to 508,957,792.19, 762,014,336.54 and 274,950,147.95 is: 411,656,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,957,792.19 : 762,014,336.54 = 274,950,147.95 : x
  2. Step 2: Convert to fraction form
    508,957,792.19/762,014,336.54 = 274,950,147.95/x
  3. Step 3: Cross multiply
    508,957,792.19x = 762,014,336.54 × 274,950,147.95
  4. Step 4: Simplify right side
    508,957,792.19x = 209,515,954,566,509,248
  5. Step 5: Solve for x
    x = 209,515,954,566,509,248/508,957,792.19
  6. Step 6: Final answer
    x = 411,656,836.35

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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.