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Finding the Fourth Proportional to 2,970,233,669,254.20, 4,455,350,503,881.50 and 2,970,233,669,254.20

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Solution

The fourth proportional to 2,970,233,669,254.20, 4,455,350,503,881.50 and 2,970,233,669,254.20 is: 4,455,350,503,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,233,669,254.20 : 4,455,350,503,881.50 = 2,970,233,669,254.20 : x
  2. Step 2: Convert to fraction form
    2,970,233,669,254.20/4,455,350,503,881.50 = 2,970,233,669,254.20/x
  3. Step 3: Cross multiply
    2,970,233,669,254.20x = 4,455,350,503,881.50 × 2,970,233,669,254.20
  4. Step 4: Simplify right side
    2,970,233,669,254.20x = 13,233,432,074,957,496,810,209,280
  5. Step 5: Solve for x
    x = 13,233,432,074,957,496,810,209,280/2,970,233,669,254.20
  6. Step 6: Final answer
    x = 4,455,350,503,881.50

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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.