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Finding the Fourth Proportional to 2,966,536,499.20, 4,161,750,732.80 and 2,966,536,499.20

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Solution

The fourth proportional to 2,966,536,499.20, 4,161,750,732.80 and 2,966,536,499.20 is: 4,161,750,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,536,499.20 : 4,161,750,732.80 = 2,966,536,499.20 : x
  2. Step 2: Convert to fraction form
    2,966,536,499.20/4,161,750,732.80 = 2,966,536,499.20/x
  3. Step 3: Cross multiply
    2,966,536,499.20x = 4,161,750,732.80 × 2,966,536,499.20
  4. Step 4: Simplify right side
    2,966,536,499.20x = 12,345,985,449,423,546,368
  5. Step 5: Solve for x
    x = 12,345,985,449,423,546,368/2,966,536,499.20
  6. Step 6: Final answer
    x = 4,161,750,732.80

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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.