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Finding the Fourth Proportional to 471,230,817.60, 706,846,226.40 and 148,114,689.60

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Solution

The fourth proportional to 471,230,817.60, 706,846,226.40 and 148,114,689.60 is: 222,172,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,230,817.60 : 706,846,226.40 = 148,114,689.60 : x
  2. Step 2: Convert to fraction form
    471,230,817.60/706,846,226.40 = 148,114,689.60/x
  3. Step 3: Cross multiply
    471,230,817.60x = 706,846,226.40 × 148,114,689.60
  4. Step 4: Simplify right side
    471,230,817.60x = 104,694,309,418,167,312
  5. Step 5: Solve for x
    x = 104,694,309,418,167,312/471,230,817.60
  6. Step 6: Final answer
    x = 222,172,034.40

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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.