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Finding the Fourth Proportional to 2,356,558,861,798, 3,534,838,292,697.30 and 2,356,558,861,798

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Solution

The fourth proportional to 2,356,558,861,798, 3,534,838,292,697.30 and 2,356,558,861,798 is: 3,534,838,292,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,558,861,798 : 3,534,838,292,697.30 = 2,356,558,861,798 : x
  2. Step 2: Convert to fraction form
    2,356,558,861,798/3,534,838,292,697.30 = 2,356,558,861,798/x
  3. Step 3: Cross multiply
    2,356,558,861,798x = 3,534,838,292,697.30 × 2,356,558,861,798
  4. Step 4: Simplify right side
    2,356,558,861,798x = 8,330,054,503,678,734,430,633,984
  5. Step 5: Solve for x
    x = 8,330,054,503,678,734,430,633,984/2,356,558,861,798
  6. Step 6: Final answer
    x = 3,534,838,292,697.30

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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.