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Finding the Fourth Proportional to 289,522,900.90, 399,539,729.95 and 165,787,492.87

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Solution

The fourth proportional to 289,522,900.90, 399,539,729.95 and 165,787,492.87 is: 228,785,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,522,900.90 : 399,539,729.95 = 165,787,492.87 : x
  2. Step 2: Convert to fraction form
    289,522,900.90/399,539,729.95 = 165,787,492.87/x
  3. Step 3: Cross multiply
    289,522,900.90x = 399,539,729.95 × 165,787,492.87
  4. Step 4: Simplify right side
    289,522,900.90x = 66,238,690,130,367,352
  5. Step 5: Solve for x
    x = 66,238,690,130,367,352/289,522,900.90
  6. Step 6: Final answer
    x = 228,785,667.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.