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Finding the Fourth Proportional to 1,337,637,034,906.90, 2,006,455,552,360.40 and 1,337,637,034,906.90

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Solution

The fourth proportional to 1,337,637,034,906.90, 2,006,455,552,360.40 and 1,337,637,034,906.90 is: 2,006,455,552,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,637,034,906.90 : 2,006,455,552,360.40 = 1,337,637,034,906.90 : x
  2. Step 2: Convert to fraction form
    1,337,637,034,906.90/2,006,455,552,360.40 = 1,337,637,034,906.90/x
  3. Step 3: Cross multiply
    1,337,637,034,906.90x = 2,006,455,552,360.40 × 1,337,637,034,906.90
  4. Step 4: Simplify right side
    1,337,637,034,906.90x = 2,683,909,255,731,851,309,350,912
  5. Step 5: Solve for x
    x = 2,683,909,255,731,851,309,350,912/1,337,637,034,906.90
  6. Step 6: Final answer
    x = 2,006,455,552,360.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.