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Finding the Fourth Proportional to 706,934,628,000.70, 1,060,401,942,001.10 and 706,934,628,000.70

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Solution

The fourth proportional to 706,934,628,000.70, 1,060,401,942,001.10 and 706,934,628,000.70 is: 1,060,401,942,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,934,628,000.70 : 1,060,401,942,001.10 = 706,934,628,000.70 : x
  2. Step 2: Convert to fraction form
    706,934,628,000.70/1,060,401,942,001.10 = 706,934,628,000.70/x
  3. Step 3: Cross multiply
    706,934,628,000.70x = 1,060,401,942,001.10 × 706,934,628,000.70
  4. Step 4: Simplify right side
    706,934,628,000.70x = 749,634,852,399,767,428,792,320
  5. Step 5: Solve for x
    x = 749,634,852,399,767,428,792,320/706,934,628,000.70
  6. Step 6: Final answer
    x = 1,060,401,942,001.10

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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.