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Finding the Fourth Proportional to 713,027,124.80, 998,918,219.20 and 713,027,124.80

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Solution

The fourth proportional to 713,027,124.80, 998,918,219.20 and 713,027,124.80 is: 998,918,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,027,124.80 : 998,918,219.20 = 713,027,124.80 : x
  2. Step 2: Convert to fraction form
    713,027,124.80/998,918,219.20 = 713,027,124.80/x
  3. Step 3: Cross multiply
    713,027,124.80x = 998,918,219.20 × 713,027,124.80
  4. Step 4: Simplify right side
    713,027,124.80x = 712,255,785,746,512,128
  5. Step 5: Solve for x
    x = 712,255,785,746,512,128/713,027,124.80
  6. Step 6: Final answer
    x = 998,918,219.20

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.