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Finding the Fourth Proportional to 966,872,486.40, 1,450,154,764.80 and 320,640,230.40

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Solution

The fourth proportional to 966,872,486.40, 1,450,154,764.80 and 320,640,230.40 is: 480,909,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,872,486.40 : 1,450,154,764.80 = 320,640,230.40 : x
  2. Step 2: Convert to fraction form
    966,872,486.40/1,450,154,764.80 = 320,640,230.40/x
  3. Step 3: Cross multiply
    966,872,486.40x = 1,450,154,764.80 × 320,640,230.40
  4. Step 4: Simplify right side
    966,872,486.40x = 464,977,957,901,129,792
  5. Step 5: Solve for x
    x = 464,977,957,901,129,792/966,872,486.40
  6. Step 6: Final answer
    x = 480,909,286.84

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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.