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Finding the Fourth Proportional to 2,996,919,272.70, 4,495,378,909.17 and 2,996,919,272.70

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Solution

The fourth proportional to 2,996,919,272.70, 4,495,378,909.17 and 2,996,919,272.70 is: 4,495,378,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,919,272.70 : 4,495,378,909.17 = 2,996,919,272.70 : x
  2. Step 2: Convert to fraction form
    2,996,919,272.70/4,495,378,909.17 = 2,996,919,272.70/x
  3. Step 3: Cross multiply
    2,996,919,272.70x = 4,495,378,909.17 × 2,996,919,272.70
  4. Step 4: Simplify right side
    2,996,919,272.70x = 13,472,287,690,980,675,584
  5. Step 5: Solve for x
    x = 13,472,287,690,980,675,584/2,996,919,272.70
  6. Step 6: Final answer
    x = 4,495,378,909.17

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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.