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Finding the Fourth Proportional to 288,985,812,145.20, 433,478,718,217.80 and 288,985,812,145.20

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Solution

The fourth proportional to 288,985,812,145.20, 433,478,718,217.80 and 288,985,812,145.20 is: 433,478,718,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,985,812,145.20 : 433,478,718,217.80 = 288,985,812,145.20 : x
  2. Step 2: Convert to fraction form
    288,985,812,145.20/433,478,718,217.80 = 288,985,812,145.20/x
  3. Step 3: Cross multiply
    288,985,812,145.20x = 433,478,718,217.80 × 288,985,812,145.20
  4. Step 4: Simplify right side
    288,985,812,145.20x = 125,269,199,431,831,237,165,056
  5. Step 5: Solve for x
    x = 125,269,199,431,831,237,165,056/288,985,812,145.20
  6. Step 6: Final answer
    x = 433,478,718,217.80

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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.