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Finding the Fourth Proportional to 668,337,557,000.30, 1,002,506,335,500.50 and 668,337,557,000.30

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Solution

The fourth proportional to 668,337,557,000.30, 1,002,506,335,500.50 and 668,337,557,000.30 is: 1,002,506,335,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,337,557,000.30 : 1,002,506,335,500.50 = 668,337,557,000.30 : x
  2. Step 2: Convert to fraction form
    668,337,557,000.30/1,002,506,335,500.50 = 668,337,557,000.30/x
  3. Step 3: Cross multiply
    668,337,557,000.30x = 1,002,506,335,500.50 × 668,337,557,000.30
  4. Step 4: Simplify right side
    668,337,557,000.30x = 670,012,635,145,727,304,007,680
  5. Step 5: Solve for x
    x = 670,012,635,145,727,304,007,680/668,337,557,000.30
  6. Step 6: Final answer
    x = 1,002,506,335,500.50

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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.