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Finding the Fourth Proportional to 2,356,558,861,793, 3,534,838,292,689.70 and 2,356,558,861,793

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Solution

The fourth proportional to 2,356,558,861,793, 3,534,838,292,689.70 and 2,356,558,861,793 is: 3,534,838,292,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,558,861,793 : 3,534,838,292,689.70 = 2,356,558,861,793 : x
  2. Step 2: Convert to fraction form
    2,356,558,861,793/3,534,838,292,689.70 = 2,356,558,861,793/x
  3. Step 3: Cross multiply
    2,356,558,861,793x = 3,534,838,292,689.70 × 2,356,558,861,793
  4. Step 4: Simplify right side
    2,356,558,861,793x = 8,330,054,503,643,151,700,328,448
  5. Step 5: Solve for x
    x = 8,330,054,503,643,151,700,328,448/2,356,558,861,793
  6. Step 6: Final answer
    x = 3,534,838,292,689.70

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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.