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Finding the Fourth Proportional to 813,603,744,008.10, 1,220,405,616,012.10 and 813,603,744,008.10

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Solution

The fourth proportional to 813,603,744,008.10, 1,220,405,616,012.10 and 813,603,744,008.10 is: 1,220,405,616,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,603,744,008.10 : 1,220,405,616,012.10 = 813,603,744,008.10 : x
  2. Step 2: Convert to fraction form
    813,603,744,008.10/1,220,405,616,012.10 = 813,603,744,008.10/x
  3. Step 3: Cross multiply
    813,603,744,008.10x = 1,220,405,616,012.10 × 813,603,744,008.10
  4. Step 4: Simplify right side
    813,603,744,008.10x = 992,926,578,395,956,258,013,184
  5. Step 5: Solve for x
    x = 992,926,578,395,956,258,013,184/813,603,744,008.10
  6. Step 6: Final answer
    x = 1,220,405,616,012.10

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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.