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Finding the Fourth Proportional to 178,119,061.05, 266,753,438.78 and 178,119,061.05

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Solution

The fourth proportional to 178,119,061.05, 266,753,438.78 and 178,119,061.05 is: 266,753,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,119,061.05 : 266,753,438.78 = 178,119,061.05 : x
  2. Step 2: Convert to fraction form
    178,119,061.05/266,753,438.78 = 178,119,061.05/x
  3. Step 3: Cross multiply
    178,119,061.05x = 266,753,438.78 × 178,119,061.05
  4. Step 4: Simplify right side
    178,119,061.05x = 47,513,872,046,461,664
  5. Step 5: Solve for x
    x = 47,513,872,046,461,664/178,119,061.05
  6. Step 6: Final answer
    x = 266,753,438.78

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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.