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Finding the Fourth Proportional to 706,934,628,000.20, 1,060,401,942,000.20 and 706,934,628,000.20

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Solution

The fourth proportional to 706,934,628,000.20, 1,060,401,942,000.20 and 706,934,628,000.20 is: 1,060,401,942,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,934,628,000.20 : 1,060,401,942,000.20 = 706,934,628,000.20 : x
  2. Step 2: Convert to fraction form
    706,934,628,000.20/1,060,401,942,000.20 = 706,934,628,000.20/x
  3. Step 3: Cross multiply
    706,934,628,000.20x = 1,060,401,942,000.20 × 706,934,628,000.20
  4. Step 4: Simplify right side
    706,934,628,000.20x = 749,634,852,398,600,942,518,272
  5. Step 5: Solve for x
    x = 749,634,852,398,600,942,518,272/706,934,628,000.20
  6. Step 6: Final answer
    x = 1,060,401,942,000.20

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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.