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Finding the Fourth Proportional to 196,593,804,024.40, 294,890,706,039.30 and 196,593,804,024.40

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Solution

The fourth proportional to 196,593,804,024.40, 294,890,706,039.30 and 196,593,804,024.40 is: 294,890,706,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,593,804,024.40 : 294,890,706,039.30 = 196,593,804,024.40 : x
  2. Step 2: Convert to fraction form
    196,593,804,024.40/294,890,706,039.30 = 196,593,804,024.40/x
  3. Step 3: Cross multiply
    196,593,804,024.40x = 294,890,706,039.30 × 196,593,804,024.40
  4. Step 4: Simplify right side
    196,593,804,024.40x = 57,973,685,671,707,092,713,472
  5. Step 5: Solve for x
    x = 57,973,685,671,707,092,713,472/196,593,804,024.40
  6. Step 6: Final answer
    x = 294,890,706,039.30

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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.