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Finding the Fourth Proportional to 4,354,765,982.70, 6,532,148,974.05 and 4,354,765,982.70

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Solution

The fourth proportional to 4,354,765,982.70, 6,532,148,974.05 and 4,354,765,982.70 is: 6,532,148,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354,765,982.70 : 6,532,148,974.05 = 4,354,765,982.70 : x
  2. Step 2: Convert to fraction form
    4,354,765,982.70/6,532,148,974.05 = 4,354,765,982.70/x
  3. Step 3: Cross multiply
    4,354,765,982.70x = 6,532,148,974.05 × 4,354,765,982.70
  4. Step 4: Simplify right side
    4,354,765,982.70x = 28,445,980,146,121,646,080
  5. Step 5: Solve for x
    x = 28,445,980,146,121,646,080/4,354,765,982.70
  6. Step 6: Final answer
    x = 6,532,148,974.05

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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.