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Finding the Fourth Proportional to 460,615,853.80, 690,923,780.70 and 460,615,853.80

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Solution

The fourth proportional to 460,615,853.80, 690,923,780.70 and 460,615,853.80 is: 690,923,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,615,853.80 : 690,923,780.70 = 460,615,853.80 : x
  2. Step 2: Convert to fraction form
    460,615,853.80/690,923,780.70 = 460,615,853.80/x
  3. Step 3: Cross multiply
    460,615,853.80x = 690,923,780.70 × 460,615,853.80
  4. Step 4: Simplify right side
    460,615,853.80x = 318,250,447,157,854,464
  5. Step 5: Solve for x
    x = 318,250,447,157,854,464/460,615,853.80
  6. Step 6: Final answer
    x = 690,923,780.70

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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.