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Finding the Fourth Proportional to 162,904,996,861.65, 244,357,495,292.47 and 162,904,996,861.65

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Solution

The fourth proportional to 162,904,996,861.65, 244,357,495,292.47 and 162,904,996,861.65 is: 244,357,495,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904,996,861.65 : 244,357,495,292.47 = 162,904,996,861.65 : x
  2. Step 2: Convert to fraction form
    162,904,996,861.65/244,357,495,292.47 = 162,904,996,861.65/x
  3. Step 3: Cross multiply
    162,904,996,861.65x = 244,357,495,292.47 × 162,904,996,861.65
  4. Step 4: Simplify right side
    162,904,996,861.65x = 39,807,057,003,740,475,162,624
  5. Step 5: Solve for x
    x = 39,807,057,003,740,475,162,624/162,904,996,861.65
  6. Step 6: Final answer
    x = 244,357,495,292.47

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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.