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Finding the Fourth Proportional to 842,269,643.40, 1,263,404,465.10 and 842,269,643.40

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Solution

The fourth proportional to 842,269,643.40, 1,263,404,465.10 and 842,269,643.40 is: 1,263,404,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,269,643.40 : 1,263,404,465.10 = 842,269,643.40 : x
  2. Step 2: Convert to fraction form
    842,269,643.40/1,263,404,465.10 = 842,269,643.40/x
  3. Step 3: Cross multiply
    842,269,643.40x = 1,263,404,465.10 × 842,269,643.40
  4. Step 4: Simplify right side
    842,269,643.40x = 1,064,127,228,289,744,640
  5. Step 5: Solve for x
    x = 1,064,127,228,289,744,640/842,269,643.40
  6. Step 6: Final answer
    x = 1,263,404,465.10

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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.