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Finding the Fourth Proportional to 417,646,961.80, 626,470,442.70 and 417,646,961.80

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Solution

The fourth proportional to 417,646,961.80, 626,470,442.70 and 417,646,961.80 is: 626,470,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,646,961.80 : 626,470,442.70 = 417,646,961.80 : x
  2. Step 2: Convert to fraction form
    417,646,961.80/626,470,442.70 = 417,646,961.80/x
  3. Step 3: Cross multiply
    417,646,961.80x = 626,470,442.70 × 417,646,961.80
  4. Step 4: Simplify right side
    417,646,961.80x = 261,643,477,051,156,032
  5. Step 5: Solve for x
    x = 261,643,477,051,156,032/417,646,961.80
  6. Step 6: Final answer
    x = 626,470,442.70

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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.