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Finding the Fourth Proportional to 503,449,344,003.40, 755,174,016,005.10 and 503,449,344,003.40

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Solution

The fourth proportional to 503,449,344,003.40, 755,174,016,005.10 and 503,449,344,003.40 is: 755,174,016,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,003.40 : 755,174,016,005.10 = 503,449,344,003.40 : x
  2. Step 2: Convert to fraction form
    503,449,344,003.40/755,174,016,005.10 = 503,449,344,003.40/x
  3. Step 3: Cross multiply
    503,449,344,003.40x = 755,174,016,005.10 × 503,449,344,003.40
  4. Step 4: Simplify right side
    503,449,344,003.40x = 380,191,862,966,180,718,313,472
  5. Step 5: Solve for x
    x = 380,191,862,966,180,718,313,472/503,449,344,003.40
  6. Step 6: Final answer
    x = 755,174,016,005.10

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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.