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Finding the Fourth Proportional to 652,407,475.10, 978,611,212.65 and 362,169,830.30

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Solution

The fourth proportional to 652,407,475.10, 978,611,212.65 and 362,169,830.30 is: 543,254,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,407,475.10 : 978,611,212.65 = 362,169,830.30 : x
  2. Step 2: Convert to fraction form
    652,407,475.10/978,611,212.65 = 362,169,830.30/x
  3. Step 3: Cross multiply
    652,407,475.10x = 978,611,212.65 × 362,169,830.30
  4. Step 4: Simplify right side
    652,407,475.10x = 354,423,456,815,127,744
  5. Step 5: Solve for x
    x = 354,423,456,815,127,744/652,407,475.10
  6. Step 6: Final answer
    x = 543,254,745.45

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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.