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Finding the Fourth Proportional to 408,260,200.05, 612,390,300.08 and 408,260,200.05

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Solution

The fourth proportional to 408,260,200.05, 612,390,300.08 and 408,260,200.05 is: 612,390,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,260,200.05 : 612,390,300.08 = 408,260,200.05 : x
  2. Step 2: Convert to fraction form
    408,260,200.05/612,390,300.08 = 408,260,200.05/x
  3. Step 3: Cross multiply
    408,260,200.05x = 612,390,300.08 × 408,260,200.05
  4. Step 4: Simplify right side
    408,260,200.05x = 250,014,586,417,299,072
  5. Step 5: Solve for x
    x = 250,014,586,417,299,072/408,260,200.05
  6. Step 6: Final answer
    x = 612,390,300.08

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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.