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Finding the Fourth Proportional to 868,974,194.10, 1,304,972,945.55 and 460,827,506.10

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Solution

The fourth proportional to 868,974,194.10, 1,304,972,945.55 and 460,827,506.10 is: 692,042,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,974,194.10 : 1,304,972,945.55 = 460,827,506.10 : x
  2. Step 2: Convert to fraction form
    868,974,194.10/1,304,972,945.55 = 460,827,506.10/x
  3. Step 3: Cross multiply
    868,974,194.10x = 1,304,972,945.55 × 460,827,506.10
  4. Step 4: Simplify right side
    868,974,194.10x = 601,367,428,025,777,664
  5. Step 5: Solve for x
    x = 601,367,428,025,777,664/868,974,194.10
  6. Step 6: Final answer
    x = 692,042,907.73

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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.