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Finding the Fourth Proportional to 2,996,917,661.20, 4,495,376,491.80 and 2,996,917,661.20

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Solution

The fourth proportional to 2,996,917,661.20, 4,495,376,491.80 and 2,996,917,661.20 is: 4,495,376,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,917,661.20 : 4,495,376,491.80 = 2,996,917,661.20 : x
  2. Step 2: Convert to fraction form
    2,996,917,661.20/4,495,376,491.80 = 2,996,917,661.20/x
  3. Step 3: Cross multiply
    2,996,917,661.20x = 4,495,376,491.80 × 2,996,917,661.20
  4. Step 4: Simplify right side
    2,996,917,661.20x = 13,472,273,202,018,717,696
  5. Step 5: Solve for x
    x = 13,472,273,202,018,717,696/2,996,917,661.20
  6. Step 6: Final answer
    x = 4,495,376,491.80

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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.