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Finding the Fourth Proportional to 215,784,803.40, 323,677,205.10 and 215,784,803.40

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Solution

The fourth proportional to 215,784,803.40, 323,677,205.10 and 215,784,803.40 is: 323,677,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,784,803.40 : 323,677,205.10 = 215,784,803.40 : x
  2. Step 2: Convert to fraction form
    215,784,803.40/323,677,205.10 = 215,784,803.40/x
  3. Step 3: Cross multiply
    215,784,803.40x = 323,677,205.10 × 215,784,803.40
  4. Step 4: Simplify right side
    215,784,803.40x = 69,844,622,067,564,984
  5. Step 5: Solve for x
    x = 69,844,622,067,564,984/215,784,803.40
  6. Step 6: Final answer
    x = 323,677,205.10

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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.