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Finding the Fourth Proportional to 431,068,846.60, 646,603,269.90 and 295,019,950.60

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Solution

The fourth proportional to 431,068,846.60, 646,603,269.90 and 295,019,950.60 is: 442,529,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,068,846.60 : 646,603,269.90 = 295,019,950.60 : x
  2. Step 2: Convert to fraction form
    431,068,846.60/646,603,269.90 = 295,019,950.60/x
  3. Step 3: Cross multiply
    431,068,846.60x = 646,603,269.90 × 295,019,950.60
  4. Step 4: Simplify right side
    431,068,846.60x = 190,760,864,743,696,480
  5. Step 5: Solve for x
    x = 190,760,864,743,696,480/431,068,846.60
  6. Step 6: Final answer
    x = 442,529,925.90

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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.