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Finding the Fourth Proportional to 1,090,220,439.90, 1,635,330,659.85 and 1,090,220,439.90

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Solution

The fourth proportional to 1,090,220,439.90, 1,635,330,659.85 and 1,090,220,439.90 is: 1,635,330,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,220,439.90 : 1,635,330,659.85 = 1,090,220,439.90 : x
  2. Step 2: Convert to fraction form
    1,090,220,439.90/1,635,330,659.85 = 1,090,220,439.90/x
  3. Step 3: Cross multiply
    1,090,220,439.90x = 1,635,330,659.85 × 1,090,220,439.90
  4. Step 4: Simplify right side
    1,090,220,439.90x = 1,782,870,911,363,624,448
  5. Step 5: Solve for x
    x = 1,782,870,911,363,624,448/1,090,220,439.90
  6. Step 6: Final answer
    x = 1,635,330,659.85

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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.