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Finding the Fourth Proportional to 215,410,847,460.07, 323,116,271,190.10 and 215,410,847,460.07

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Solution

The fourth proportional to 215,410,847,460.07, 323,116,271,190.10 and 215,410,847,460.07 is: 323,116,271,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410,847,460.07 : 323,116,271,190.10 = 215,410,847,460.07 : x
  2. Step 2: Convert to fraction form
    215,410,847,460.07/323,116,271,190.10 = 215,410,847,460.07/x
  3. Step 3: Cross multiply
    215,410,847,460.07x = 323,116,271,190.10 × 215,410,847,460.07
  4. Step 4: Simplify right side
    215,410,847,460.07x = 69,602,749,805,197,239,779,328
  5. Step 5: Solve for x
    x = 69,602,749,805,197,239,779,328/215,410,847,460.07
  6. Step 6: Final answer
    x = 323,116,271,190.10

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1.5x scale

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.