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Finding the Fourth Proportional to 468,105,966.08, 645,978,316.40 and 259,257,624.68

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Solution

The fourth proportional to 468,105,966.08, 645,978,316.40 and 259,257,624.68 is: 357,771,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,105,966.08 : 645,978,316.40 = 259,257,624.68 : x
  2. Step 2: Convert to fraction form
    468,105,966.08/645,978,316.40 = 259,257,624.68/x
  3. Step 3: Cross multiply
    468,105,966.08x = 645,978,316.40 × 259,257,624.68
  4. Step 4: Simplify right side
    468,105,966.08x = 167,474,803,904,649,472
  5. Step 5: Solve for x
    x = 167,474,803,904,649,472/468,105,966.08
  6. Step 6: Final answer
    x = 357,771,137.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.