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Finding the Fourth Proportional to 611,294,908.20, 916,942,362.30 and 611,294,908.20

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Solution

The fourth proportional to 611,294,908.20, 916,942,362.30 and 611,294,908.20 is: 916,942,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,294,908.20 : 916,942,362.30 = 611,294,908.20 : x
  2. Step 2: Convert to fraction form
    611,294,908.20/916,942,362.30 = 611,294,908.20/x
  3. Step 3: Cross multiply
    611,294,908.20x = 916,942,362.30 × 611,294,908.20
  4. Step 4: Simplify right side
    611,294,908.20x = 560,522,197,186,869,632
  5. Step 5: Solve for x
    x = 560,522,197,186,869,632/611,294,908.20
  6. Step 6: Final answer
    x = 916,942,362.30

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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.