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Finding the Fourth Proportional to 2,022,039,156.70, 2,834,676,878.90 and 2,022,039,156.70

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Solution

The fourth proportional to 2,022,039,156.70, 2,834,676,878.90 and 2,022,039,156.70 is: 2,834,676,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,039,156.70 : 2,834,676,878.90 = 2,022,039,156.70 : x
  2. Step 2: Convert to fraction form
    2,022,039,156.70/2,834,676,878.90 = 2,022,039,156.70/x
  3. Step 3: Cross multiply
    2,022,039,156.70x = 2,834,676,878.90 × 2,022,039,156.70
  4. Step 4: Simplify right side
    2,022,039,156.70x = 5,731,827,645,727,944,704
  5. Step 5: Solve for x
    x = 5,731,827,645,727,944,704/2,022,039,156.70
  6. Step 6: Final answer
    x = 2,834,676,878.90

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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.