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Finding the Fourth Proportional to 868,974,201.60, 1,304,972,956.80 and 460,827,513.60

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Solution

The fourth proportional to 868,974,201.60, 1,304,972,956.80 and 460,827,513.60 is: 692,042,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,974,201.60 : 1,304,972,956.80 = 460,827,513.60 : x
  2. Step 2: Convert to fraction form
    868,974,201.60/1,304,972,956.80 = 460,827,513.60/x
  3. Step 3: Cross multiply
    868,974,201.60x = 1,304,972,956.80 × 460,827,513.60
  4. Step 4: Simplify right side
    868,974,201.60x = 601,367,442,997,384,192
  5. Step 5: Solve for x
    x = 601,367,442,997,384,192/868,974,201.60
  6. Step 6: Final answer
    x = 692,042,918.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.