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Finding the Fourth Proportional to 161,484,615,940.73, 242,226,923,911.09 and 161,484,615,940.73

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Solution

The fourth proportional to 161,484,615,940.73, 242,226,923,911.09 and 161,484,615,940.73 is: 242,226,923,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484,615,940.73 : 242,226,923,911.09 = 161,484,615,940.73 : x
  2. Step 2: Convert to fraction form
    161,484,615,940.73/242,226,923,911.09 = 161,484,615,940.73/x
  3. Step 3: Cross multiply
    161,484,615,940.73x = 242,226,923,911.09 × 161,484,615,940.73
  4. Step 4: Simplify right side
    161,484,615,940.73x = 39,115,921,778,286,796,996,608
  5. Step 5: Solve for x
    x = 39,115,921,778,286,796,996,608/161,484,615,940.73
  6. Step 6: Final answer
    x = 242,226,923,911.09

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1.5x scale

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.