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Finding the Fourth Proportional to 484,260,496,233.60, 726,390,744,350.40 and 484,260,496,233.60

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Solution

The fourth proportional to 484,260,496,233.60, 726,390,744,350.40 and 484,260,496,233.60 is: 726,390,744,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,260,496,233.60 : 726,390,744,350.40 = 484,260,496,233.60 : x
  2. Step 2: Convert to fraction form
    484,260,496,233.60/726,390,744,350.40 = 484,260,496,233.60/x
  3. Step 3: Cross multiply
    484,260,496,233.60x = 726,390,744,350.40 × 484,260,496,233.60
  4. Step 4: Simplify right side
    484,260,496,233.60x = 351,762,342,318,618,756,251,648
  5. Step 5: Solve for x
    x = 351,762,342,318,618,756,251,648/484,260,496,233.60
  6. Step 6: Final answer
    x = 726,390,744,350.40

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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.