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Finding the Fourth Proportional to 413,160,801.60, 619,741,202.40 and 413,160,801.60

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Solution

The fourth proportional to 413,160,801.60, 619,741,202.40 and 413,160,801.60 is: 619,741,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,160,801.60 : 619,741,202.40 = 413,160,801.60 : x
  2. Step 2: Convert to fraction form
    413,160,801.60/619,741,202.40 = 413,160,801.60/x
  3. Step 3: Cross multiply
    413,160,801.60x = 619,741,202.40 × 413,160,801.60
  4. Step 4: Simplify right side
    413,160,801.60x = 256,052,771,968,131,840
  5. Step 5: Solve for x
    x = 256,052,771,968,131,840/413,160,801.60
  6. Step 6: Final answer
    x = 619,741,202.40

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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.