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Finding the Fourth Proportional to 652,410,009.10, 978,615,013.65 and 362,172,364.30

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Solution

The fourth proportional to 652,410,009.10, 978,615,013.65 and 362,172,364.30 is: 543,258,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,410,009.10 : 978,615,013.65 = 362,172,364.30 : x
  2. Step 2: Convert to fraction form
    652,410,009.10/978,615,013.65 = 362,172,364.30/x
  3. Step 3: Cross multiply
    652,410,009.10x = 978,615,013.65 × 362,172,364.30
  4. Step 4: Simplify right side
    652,410,009.10x = 354,427,313,233,097,280
  5. Step 5: Solve for x
    x = 354,427,313,233,097,280/652,410,009.10
  6. Step 6: Final answer
    x = 543,258,546.45

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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.