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Finding the Fourth Proportional to 668,337,557,003.30, 1,002,506,335,505.10 and 668,337,557,003.30

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Solution

The fourth proportional to 668,337,557,003.30, 1,002,506,335,505.10 and 668,337,557,003.30 is: 1,002,506,335,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,337,557,003.30 : 1,002,506,335,505.10 = 668,337,557,003.30 : x
  2. Step 2: Convert to fraction form
    668,337,557,003.30/1,002,506,335,505.10 = 668,337,557,003.30/x
  3. Step 3: Cross multiply
    668,337,557,003.30x = 1,002,506,335,505.10 × 668,337,557,003.30
  4. Step 4: Simplify right side
    668,337,557,003.30x = 670,012,635,151,809,246,134,272
  5. Step 5: Solve for x
    x = 670,012,635,151,809,246,134,272/668,337,557,003.30
  6. Step 6: Final answer
    x = 1,002,506,335,505.10

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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.