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Finding the Fourth Proportional to 66,096,097.20, 99,144,145.80 and 66,096,097.20

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Solution

The fourth proportional to 66,096,097.20, 99,144,145.80 and 66,096,097.20 is: 99,144,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096,097.20 : 99,144,145.80 = 66,096,097.20 : x
  2. Step 2: Convert to fraction form
    66,096,097.20/99,144,145.80 = 66,096,097.20/x
  3. Step 3: Cross multiply
    66,096,097.20x = 99,144,145.80 × 66,096,097.20
  4. Step 4: Simplify right side
    66,096,097.20x = 6,553,041,097,607,772
  5. Step 5: Solve for x
    x = 6,553,041,097,607,772/66,096,097.20
  6. Step 6: Final answer
    x = 99,144,145.80

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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.