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Finding the Fourth Proportional to 664,275,655.85, 996,413,483.78 and 664,275,655.85

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Solution

The fourth proportional to 664,275,655.85, 996,413,483.78 and 664,275,655.85 is: 996,413,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,275,655.85 : 996,413,483.78 = 664,275,655.85 : x
  2. Step 2: Convert to fraction form
    664,275,655.85/996,413,483.78 = 664,275,655.85/x
  3. Step 3: Cross multiply
    664,275,655.85x = 996,413,483.78 × 664,275,655.85
  4. Step 4: Simplify right side
    664,275,655.85x = 661,893,220,432,421,504
  5. Step 5: Solve for x
    x = 661,893,220,432,421,504/664,275,655.85
  6. Step 6: Final answer
    x = 996,413,483.78

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Half scale
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Double scale
Find fourth proportional to 664,275,656.85, 996,413,485.28 and 664,275,656.85
Similar ratio
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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.