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Finding the Fourth Proportional to 906,742,660.92, 1,360,109,425.95 and 354,101,208.14

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Solution

The fourth proportional to 906,742,660.92, 1,360,109,425.95 and 354,101,208.14 is: 531,150,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,742,660.92 : 1,360,109,425.95 = 354,101,208.14 : x
  2. Step 2: Convert to fraction form
    906,742,660.92/1,360,109,425.95 = 354,101,208.14/x
  3. Step 3: Cross multiply
    906,742,660.92x = 1,360,109,425.95 × 354,101,208.14
  4. Step 4: Simplify right side
    906,742,660.92x = 481,616,390,924,696,320
  5. Step 5: Solve for x
    x = 481,616,390,924,696,320/906,742,660.92
  6. Step 6: Final answer
    x = 531,150,029.31

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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.