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Finding the Fourth Proportional to 706,934,628,002.02, 1,060,401,942,003.10 and 706,934,628,002.02

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Solution

The fourth proportional to 706,934,628,002.02, 1,060,401,942,003.10 and 706,934,628,002.02 is: 1,060,401,942,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,934,628,002.02 : 1,060,401,942,003.10 = 706,934,628,002.02 : x
  2. Step 2: Convert to fraction form
    706,934,628,002.02/1,060,401,942,003.10 = 706,934,628,002.02/x
  3. Step 3: Cross multiply
    706,934,628,002.02x = 1,060,401,942,003.10 × 706,934,628,002.02
  4. Step 4: Simplify right side
    706,934,628,002.02x = 749,634,852,402,581,035,024,384
  5. Step 5: Solve for x
    x = 749,634,852,402,581,035,024,384/706,934,628,002.02
  6. Step 6: Final answer
    x = 1,060,401,942,003.10

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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.