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Finding the Fourth Proportional to 2,102,260,520.70, 3,153,390,781.05 and 2,102,260,520.70

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Solution

The fourth proportional to 2,102,260,520.70, 3,153,390,781.05 and 2,102,260,520.70 is: 3,153,390,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,260,520.70 : 3,153,390,781.05 = 2,102,260,520.70 : x
  2. Step 2: Convert to fraction form
    2,102,260,520.70/3,153,390,781.05 = 2,102,260,520.70/x
  3. Step 3: Cross multiply
    2,102,260,520.70x = 3,153,390,781.05 × 2,102,260,520.70
  4. Step 4: Simplify right side
    2,102,260,520.70x = 6,629,248,945,340,752,896
  5. Step 5: Solve for x
    x = 6,629,248,945,340,752,896/2,102,260,520.70
  6. Step 6: Final answer
    x = 3,153,390,781.05

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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.