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Finding the Fourth Proportional to 484,472,406.40, 726,708,609.60 and 484,472,406.40

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Solution

The fourth proportional to 484,472,406.40, 726,708,609.60 and 484,472,406.40 is: 726,708,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,472,406.40 : 726,708,609.60 = 484,472,406.40 : x
  2. Step 2: Convert to fraction form
    484,472,406.40/726,708,609.60 = 484,472,406.40/x
  3. Step 3: Cross multiply
    484,472,406.40x = 726,708,609.60 × 484,472,406.40
  4. Step 4: Simplify right side
    484,472,406.40x = 352,070,268,844,510,144
  5. Step 5: Solve for x
    x = 352,070,268,844,510,144/484,472,406.40
  6. Step 6: Final answer
    x = 726,708,609.60

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Similar ratio
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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.