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Finding the Fourth Proportional to 664,466,498.70, 996,699,748.05 and 664,466,498.70

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Solution

The fourth proportional to 664,466,498.70, 996,699,748.05 and 664,466,498.70 is: 996,699,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,466,498.70 : 996,699,748.05 = 664,466,498.70 : x
  2. Step 2: Convert to fraction form
    664,466,498.70/996,699,748.05 = 664,466,498.70/x
  3. Step 3: Cross multiply
    664,466,498.70x = 996,699,748.05 × 664,466,498.70
  4. Step 4: Simplify right side
    664,466,498.70x = 662,273,591,841,955,712
  5. Step 5: Solve for x
    x = 662,273,591,841,955,712/664,466,498.70
  6. Step 6: Final answer
    x = 996,699,748.05

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Half scale
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Double scale
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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.