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Finding the Fourth Proportional to 295,065,689.60, 442,598,534.40 and 180,274,433.60

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Solution

The fourth proportional to 295,065,689.60, 442,598,534.40 and 180,274,433.60 is: 270,411,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,065,689.60 : 442,598,534.40 = 180,274,433.60 : x
  2. Step 2: Convert to fraction form
    295,065,689.60/442,598,534.40 = 180,274,433.60/x
  3. Step 3: Cross multiply
    295,065,689.60x = 442,598,534.40 × 180,274,433.60
  4. Step 4: Simplify right side
    295,065,689.60x = 79,789,200,101,150,112
  5. Step 5: Solve for x
    x = 79,789,200,101,150,112/295,065,689.60
  6. Step 6: Final answer
    x = 270,411,650.40

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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.