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Finding the Fourth Proportional to 54,459,097.10, 76,434,054.70 and 54,459,097.10

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Solution

The fourth proportional to 54,459,097.10, 76,434,054.70 and 54,459,097.10 is: 76,434,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,459,097.10 : 76,434,054.70 = 54,459,097.10 : x
  2. Step 2: Convert to fraction form
    54,459,097.10/76,434,054.70 = 54,459,097.10/x
  3. Step 3: Cross multiply
    54,459,097.10x = 76,434,054.70 × 54,459,097.10
  4. Step 4: Simplify right side
    54,459,097.10x = 4,162,529,606,654,011.50
  5. Step 5: Solve for x
    x = 4,162,529,606,654,011.50/54,459,097.10
  6. Step 6: Final answer
    x = 76,434,054.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.