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Finding the Fourth Proportional to 1,882,980,915.70, 2,819,096,602.35 and 1,882,980,915.70

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Solution

The fourth proportional to 1,882,980,915.70, 2,819,096,602.35 and 1,882,980,915.70 is: 2,819,096,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,980,915.70 : 2,819,096,602.35 = 1,882,980,915.70 : x
  2. Step 2: Convert to fraction form
    1,882,980,915.70/2,819,096,602.35 = 1,882,980,915.70/x
  3. Step 3: Cross multiply
    1,882,980,915.70x = 2,819,096,602.35 × 1,882,980,915.70
  4. Step 4: Simplify right side
    1,882,980,915.70x = 5,308,305,101,739,761,664
  5. Step 5: Solve for x
    x = 5,308,305,101,739,761,664/1,882,980,915.70
  6. Step 6: Final answer
    x = 2,819,096,602.35

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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.