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Finding the Fourth Proportional to 75,152,664,002.10, 112,728,996,003.15 and 75,152,664,002.10

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Solution

The fourth proportional to 75,152,664,002.10, 112,728,996,003.15 and 75,152,664,002.10 is: 112,728,996,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152,664,002.10 : 112,728,996,003.15 = 75,152,664,002.10 : x
  2. Step 2: Convert to fraction form
    75,152,664,002.10/112,728,996,003.15 = 75,152,664,002.10/x
  3. Step 3: Cross multiply
    75,152,664,002.10x = 112,728,996,003.15 × 75,152,664,002.10
  4. Step 4: Simplify right side
    75,152,664,002.10x = 8,471,884,359,918,805,843,968
  5. Step 5: Solve for x
    x = 8,471,884,359,918,805,843,968/75,152,664,002.10
  6. Step 6: Final answer
    x = 112,728,996,003.15

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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.