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Finding the Fourth Proportional to 110,013,543,325.20, 165,020,314,987.80 and 110,013,543,325.20

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Solution

The fourth proportional to 110,013,543,325.20, 165,020,314,987.80 and 110,013,543,325.20 is: 165,020,314,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,013,543,325.20 : 165,020,314,987.80 = 110,013,543,325.20 : x
  2. Step 2: Convert to fraction form
    110,013,543,325.20/165,020,314,987.80 = 110,013,543,325.20/x
  3. Step 3: Cross multiply
    110,013,543,325.20x = 165,020,314,987.80 × 110,013,543,325.20
  4. Step 4: Simplify right side
    110,013,543,325.20x = 18,154,469,572,448,484,327,424
  5. Step 5: Solve for x
    x = 18,154,469,572,448,484,327,424/110,013,543,325.20
  6. Step 6: Final answer
    x = 165,020,314,987.80

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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.