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Finding the Fourth Proportional to 602,056,972.80, 903,085,459.20 and 602,056,972.80

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Solution

The fourth proportional to 602,056,972.80, 903,085,459.20 and 602,056,972.80 is: 903,085,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,056,972.80 : 903,085,459.20 = 602,056,972.80 : x
  2. Step 2: Convert to fraction form
    602,056,972.80/903,085,459.20 = 602,056,972.80/x
  3. Step 3: Cross multiply
    602,056,972.80x = 903,085,459.20 × 602,056,972.80
  4. Step 4: Simplify right side
    602,056,972.80x = 543,708,897,745,649,920
  5. Step 5: Solve for x
    x = 543,708,897,745,649,920/602,056,972.80
  6. Step 6: Final answer
    x = 903,085,459.20

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