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Finding the Fourth Proportional to 162,904,996,845.15, 244,357,495,267.72 and 162,904,996,845.15

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Solution

The fourth proportional to 162,904,996,845.15, 244,357,495,267.72 and 162,904,996,845.15 is: 244,357,495,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904,996,845.15 : 244,357,495,267.72 = 162,904,996,845.15 : x
  2. Step 2: Convert to fraction form
    162,904,996,845.15/244,357,495,267.72 = 162,904,996,845.15/x
  3. Step 3: Cross multiply
    162,904,996,845.15x = 244,357,495,267.72 × 162,904,996,845.15
  4. Step 4: Simplify right side
    162,904,996,845.15x = 39,807,056,995,676,682,452,992
  5. Step 5: Solve for x
    x = 39,807,056,995,676,682,452,992/162,904,996,845.15
  6. Step 6: Final answer
    x = 244,357,495,267.72

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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.