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Finding the Fourth Proportional to 906,742,659.42, 1,360,109,423.70 and 354,101,206.64

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Solution

The fourth proportional to 906,742,659.42, 1,360,109,423.70 and 354,101,206.64 is: 531,150,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,742,659.42 : 1,360,109,423.70 = 354,101,206.64 : x
  2. Step 2: Convert to fraction form
    906,742,659.42/1,360,109,423.70 = 354,101,206.64/x
  3. Step 3: Cross multiply
    906,742,659.42x = 1,360,109,423.70 × 354,101,206.64
  4. Step 4: Simplify right side
    906,742,659.42x = 481,616,388,087,804,480
  5. Step 5: Solve for x
    x = 481,616,388,087,804,480/906,742,659.42
  6. Step 6: Final answer
    x = 531,150,027.06

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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.