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Finding the Fourth Proportional to 706,934,628,009.40, 1,060,401,942,014 and 706,934,628,009.40

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Solution

The fourth proportional to 706,934,628,009.40, 1,060,401,942,014 and 706,934,628,009.40 is: 1,060,401,942,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,934,628,009.40 : 1,060,401,942,014 = 706,934,628,009.40 : x
  2. Step 2: Convert to fraction form
    706,934,628,009.40/1,060,401,942,014 = 706,934,628,009.40/x
  3. Step 3: Cross multiply
    706,934,628,009.40x = 1,060,401,942,014 × 706,934,628,009.40
  4. Step 4: Simplify right side
    706,934,628,009.40x = 749,634,852,418,112,442,073,088
  5. Step 5: Solve for x
    x = 749,634,852,418,112,442,073,088/706,934,628,009.40
  6. Step 6: Final answer
    x = 1,060,401,942,014

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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.