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Finding the Fourth Proportional to 360,434,971.60, 505,756,872.80 and 360,434,971.60

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Solution

The fourth proportional to 360,434,971.60, 505,756,872.80 and 360,434,971.60 is: 505,756,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,434,971.60 : 505,756,872.80 = 360,434,971.60 : x
  2. Step 2: Convert to fraction form
    360,434,971.60/505,756,872.80 = 360,434,971.60/x
  3. Step 3: Cross multiply
    360,434,971.60x = 505,756,872.80 × 360,434,971.60
  4. Step 4: Simplify right side
    360,434,971.60x = 182,292,464,084,172,832
  5. Step 5: Solve for x
    x = 182,292,464,084,172,832/360,434,971.60
  6. Step 6: Final answer
    x = 505,756,872.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.