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Finding the Fourth Proportional to 647,352,000.83, 971,028,001.25 and 647,352,000.83

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Solution

The fourth proportional to 647,352,000.83, 971,028,001.25 and 647,352,000.83 is: 971,028,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352,000.83 : 971,028,001.25 = 647,352,000.83 : x
  2. Step 2: Convert to fraction form
    647,352,000.83/971,028,001.25 = 647,352,000.83/x
  3. Step 3: Cross multiply
    647,352,000.83x = 971,028,001.25 × 647,352,000.83
  4. Step 4: Simplify right side
    647,352,000.83x = 628,596,919,463,051,392
  5. Step 5: Solve for x
    x = 628,596,919,463,051,392/647,352,000.83
  6. Step 6: Final answer
    x = 971,028,001.25

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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.