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Finding the Fourth Proportional to 512,689,078.60, 769,054,613.10 and 149,183,434.60

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Solution

The fourth proportional to 512,689,078.60, 769,054,613.10 and 149,183,434.60 is: 223,781,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,689,078.60 : 769,054,613.10 = 149,183,434.60 : x
  2. Step 2: Convert to fraction form
    512,689,078.60/769,054,613.10 = 149,183,434.60/x
  3. Step 3: Cross multiply
    512,689,078.60x = 769,054,613.10 × 149,183,434.60
  4. Step 4: Simplify right side
    512,689,078.60x = 114,730,208,577,232,160
  5. Step 5: Solve for x
    x = 114,730,208,577,232,160/512,689,078.60
  6. Step 6: Final answer
    x = 223,781,261.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.