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Finding the Fourth Proportional to 503,449,344,000.10, 755,174,016,000.15 and 503,449,344,000.10

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Solution

The fourth proportional to 503,449,344,000.10, 755,174,016,000.15 and 503,449,344,000.10 is: 755,174,016,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,000.10 : 755,174,016,000.15 = 503,449,344,000.10 : x
  2. Step 2: Convert to fraction form
    503,449,344,000.10/755,174,016,000.15 = 503,449,344,000.10/x
  3. Step 3: Cross multiply
    503,449,344,000.10x = 755,174,016,000.15 × 503,449,344,000.10
  4. Step 4: Simplify right side
    503,449,344,000.10x = 380,191,862,961,196,542,984,192
  5. Step 5: Solve for x
    x = 380,191,862,961,196,542,984,192/503,449,344,000.10
  6. Step 6: Final answer
    x = 755,174,016,000.15

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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.