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Finding the Fourth Proportional to 2,356,558,861,802, 3,534,838,292,703.20 and 2,356,558,861,802

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Solution

The fourth proportional to 2,356,558,861,802, 3,534,838,292,703.20 and 2,356,558,861,802 is: 3,534,838,292,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,558,861,802 : 3,534,838,292,703.20 = 2,356,558,861,802 : x
  2. Step 2: Convert to fraction form
    2,356,558,861,802/3,534,838,292,703.20 = 2,356,558,861,802/x
  3. Step 3: Cross multiply
    2,356,558,861,802x = 3,534,838,292,703.20 × 2,356,558,861,802
  4. Step 4: Simplify right side
    2,356,558,861,802x = 8,330,054,503,706,778,419,593,216
  5. Step 5: Solve for x
    x = 8,330,054,503,706,778,419,593,216/2,356,558,861,802
  6. Step 6: Final answer
    x = 3,534,838,292,703.20

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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.