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Finding the Fourth Proportional to 490,330,690,231.40, 735,496,035,347.10 and 490,330,690,231.40

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Solution

The fourth proportional to 490,330,690,231.40, 735,496,035,347.10 and 490,330,690,231.40 is: 735,496,035,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,330,690,231.40 : 735,496,035,347.10 = 490,330,690,231.40 : x
  2. Step 2: Convert to fraction form
    490,330,690,231.40/735,496,035,347.10 = 490,330,690,231.40/x
  3. Step 3: Cross multiply
    490,330,690,231.40x = 735,496,035,347.10 × 490,330,690,231.40
  4. Step 4: Simplify right side
    490,330,690,231.40x = 360,636,278,674,201,736,380,416
  5. Step 5: Solve for x
    x = 360,636,278,674,201,736,380,416/490,330,690,231.40
  6. Step 6: Final answer
    x = 735,496,035,347.10

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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.