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Finding the Fourth Proportional to 647,354,397.83, 971,031,596.74 and 647,354,397.83

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Solution

The fourth proportional to 647,354,397.83, 971,031,596.74 and 647,354,397.83 is: 971,031,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,354,397.83 : 971,031,596.74 = 647,354,397.83 : x
  2. Step 2: Convert to fraction form
    647,354,397.83/971,031,596.74 = 647,354,397.83/x
  3. Step 3: Cross multiply
    647,354,397.83x = 971,031,596.74 × 647,354,397.83
  4. Step 4: Simplify right side
    647,354,397.83x = 628,601,574,575,052,544
  5. Step 5: Solve for x
    x = 628,601,574,575,052,544/647,354,397.83
  6. Step 6: Final answer
    x = 971,031,596.74

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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.