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Finding the Fourth Proportional to 868,973,802.60, 1,304,972,358.30 and 460,827,114.60

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Solution

The fourth proportional to 868,973,802.60, 1,304,972,358.30 and 460,827,114.60 is: 692,042,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,973,802.60 : 1,304,972,358.30 = 460,827,114.60 : x
  2. Step 2: Convert to fraction form
    868,973,802.60/1,304,972,358.30 = 460,827,114.60/x
  3. Step 3: Cross multiply
    868,973,802.60x = 1,304,972,358.30 × 460,827,114.60
  4. Step 4: Simplify right side
    868,973,802.60x = 601,366,646,508,146,432
  5. Step 5: Solve for x
    x = 601,366,646,508,146,432/868,973,802.60
  6. Step 6: Final answer
    x = 692,042,320.16

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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.